Pith Number

pith:BVSCAEYD

pith:2026:BVSCAEYDBCGHW6KWWXGJAHLQQ2

not attested not anchored not stored refs pending

Beyond Continuity: Simulation-free Reconstruction of Discrete Branching Dynamics from Single-cell Snapshots

Bowen Yang, Junda Ying, Lei Zhang, Peijie Zhou, Yuxuan Wang

USB reconstructs discrete branching cell dynamics from snapshots by modeling Brownian motion and birth-death jumps.

arxiv:2605.00545 v2 · 2026-05-01 · cs.LG · cs.AI · math-ph · math.MP · q-bio.GN · q-bio.QM

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Add to your LaTeX paper

\usepackage{pith}
\pithnumber{BVSCAEYDBCGHW6KWWXGJAHLQQ2}

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Record completeness

1 Bitcoin timestamp

2 Internet Archive

3 Author claim open · sign in to claim

4 Citations open

5 Replications open

✓ Portable graph bundle live · download bundle · merged state

The bundle contains the canonical record plus signed events. A mirror can host it anywhere and recompute the same current state with the deterministic merge algorithm.

Claims

C1strongest claim

USB provides a tractable solution to the Branching Schrödinger Bridge (BSB) problem, offering a rigorous microscopic interpretation where individual cells undergo both Brownian motion and discrete birth-death jumps.

C2weakest assumption

The assumption that cellular dynamics can be decomposed into continuous Brownian motion plus discrete birth-death jumps at single-cell resolution, and that this decomposition admits a simulation-free learning objective from population-level snapshots.

C3one line summary

Unbalanced Schrödinger Bridge (USB) provides a tractable, simulation-free solution to the Branching Schrödinger Bridge problem for modeling discrete birth-death dynamics at single-cell resolution from snapshot data.

Receipt and verification

First computed	2026-06-11T01:09:36.660100Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0d64201303088c7b7956b5cc901d708681b48c09bb25f4dc6c1fedeb4e2ceeef

Aliases

arxiv: 2605.00545 · arxiv_version: 2605.00545v2 · doi: 10.48550/arxiv.2605.00545 · pith_short_12: BVSCAEYDBCGH · pith_short_16: BVSCAEYDBCGHW6KW · pith_short_8: BVSCAEYD

Agent API

Resolver JSON Graph JSON Events JSON Schema Signing key

Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/BVSCAEYDBCGHW6KWWXGJAHLQQ2 \
  | jq -c '.canonical_record' \
  | python3 -c "import sys,json,hashlib; b=json.dumps(json.loads(sys.stdin.read()), sort_keys=True, separators=(',',':'), ensure_ascii=False).encode(); print(hashlib.sha256(b).hexdigest())"
# expect: 0d64201303088c7b7956b5cc901d708681b48c09bb25f4dc6c1fedeb4e2ceeef

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b8c0fe6245a5ca97aa082f486c493439bcabecafaf256ed5a985df1ff5238724",
    "cross_cats_sorted": [
      "cs.AI",
      "math-ph",
      "math.MP",
      "q-bio.GN",
      "q-bio.QM"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "cs.LG",
    "submitted_at": "2026-05-01T09:57:13Z",
    "title_canon_sha256": "ea9ffa168d9369a79a4afdbad7519aad08b7841c65bb7a57f27a824fe6c6751f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2605.00545",
    "kind": "arxiv",
    "version": 2
  }
}