Pith Number

pith:JGZ7ZYE2

pith:2026:JGZ7ZYE2KKT3UVDEMXG2FBXJI6

not attested not anchored not stored refs pending

Hyperedge approximation for stochastic processes on higher-order networks

Alex McAvoy, Angela Fontan, Anzhi Sheng, Joshua B. Plotkin, Silun Zhang, Ye Tian

arxiv:2605.23444 v1 · 2026-05-22 · physics.soc-ph · physics.bio-ph

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{JGZ7ZYE2KKT3UVDEMXG2FBXJI6}

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	2026-05-25T02:01:54.535029Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

49b3fce09a52a7ba546465cda286e947a1383b010d326423f3010977d257837a

Aliases

arxiv: 2605.23444 · arxiv_version: 2605.23444v1 · doi: 10.48550/arxiv.2605.23444 · pith_short_12: JGZ7ZYE2KKT3 · pith_short_16: JGZ7ZYE2KKT3UVDE · pith_short_8: JGZ7ZYE2

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/JGZ7ZYE2KKT3UVDEMXG2FBXJI6 \
  | 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: 49b3fce09a52a7ba546465cda286e947a1383b010d326423f3010977d257837a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a244fd2264f437ff203a0f1bb3c26363d105776a1ada378f144e8338eb1c6559",
    "cross_cats_sorted": [
      "physics.bio-ph"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "physics.soc-ph",
    "submitted_at": "2026-05-22T09:57:55Z",
    "title_canon_sha256": "2d6e3fa764e287fdcb2657cee722670c0b97f31678208cf74683234ab3becc37"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2605.23444",
    "kind": "arxiv",
    "version": 1
  }
}