Pith Number

pith:2BVPZOFC

pith:2026:2BVPZOFCDEE6GBZF2PZZUYVCBQ

not attested not anchored not stored refs pending

Sparse Contextual Coupling Reshapes Diffusion Geometry in Multilayer Hypergraphs

Hao Ding, Sanjukta Krishnagopal

arxiv:2605.20454 v1 · 2026-05-19 · physics.soc-ph · cs.SI · q-bio.QM

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{2BVPZOFCDEE6GBZF2PZZUYVCBQ}

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	2026-05-21T01:04:38.502326Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d06afcb8a21909e30725d3f39a62a20c0137735ca4b78ed87b11866ce181131e

Aliases

arxiv: 2605.20454 · arxiv_version: 2605.20454v1 · doi: 10.48550/arxiv.2605.20454 · pith_short_12: 2BVPZOFCDEE6 · pith_short_16: 2BVPZOFCDEE6GBZF · pith_short_8: 2BVPZOFC

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/2BVPZOFCDEE6GBZF2PZZUYVCBQ \
  | 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: d06afcb8a21909e30725d3f39a62a20c0137735ca4b78ed87b11866ce181131e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "229a5792d2c2be4100b3dbb3f5d7eca46ab72b9920ccd781ee17695a8821bdc2",
    "cross_cats_sorted": [
      "cs.SI",
      "q-bio.QM"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "physics.soc-ph",
    "submitted_at": "2026-05-19T20:06:54Z",
    "title_canon_sha256": "3ddb224b79cf6a397346bec23c3ca36e4ef2bf3735b9acfd88da02076e8d3a9e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2605.20454",
    "kind": "arxiv",
    "version": 1
  }
}