Pith Number

pith:GPHL3XT6

pith:2026:GPHL3XT6NLSIXUN32JBB4NP2R3

not attested not anchored not stored refs pending

Reflected Schr\"odinger Bridge Matching

Joakim And\'en, Marcus H\"aggbom, Pierre Nyquist, Viktor Nilsson

arxiv:2607.03626 v1 · 2026-07-03 · cs.LG · stat.ML

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{GPHL3XT6NLSIXUN32JBB4NP2R3}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more · Embed verified badge

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.

Receipt and verification

First computed	2026-07-07T02:17:58.087943Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

33cebdde7e6ae48bd1bbd2421e35fa8eece07b4ac35255308c38823a99ff0b95

Aliases

arxiv: 2607.03626 · arxiv_version: 2607.03626v1 · doi: 10.48550/arxiv.2607.03626 · pith_short_12: GPHL3XT6NLSI · pith_short_16: GPHL3XT6NLSIXUN3 · pith_short_8: GPHL3XT6

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/GPHL3XT6NLSIXUN32JBB4NP2R3 \
  | 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: 33cebdde7e6ae48bd1bbd2421e35fa8eece07b4ac35255308c38823a99ff0b95

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "37b1b10e70e6779239e57d9af9cdce6cd189515ce5504bb7d7a92c04326c471a",
    "cross_cats_sorted": [
      "stat.ML"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "cs.LG",
    "submitted_at": "2026-07-03T23:01:13Z",
    "title_canon_sha256": "3f7e2fa77d2c3794f36ef49e2359a40d431cf0a4d0e810d249b15736e73bcd87"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.03626",
    "kind": "arxiv",
    "version": 1
  }
}