Pith Number

pith:CWKYPJFT

pith:2025:CWKYPJFTD3P5DHKMTBWVFDXG2L

not attested not anchored not stored refs pending

Modeling Hypergraphs with Diversity and Heterogeneous Popularity

Ji Zhu, Xianshi Yu

arxiv:2501.04251 v1 · 2025-01-08 · stat.ME

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{CWKYPJFTD3P5DHKMTBWVFDXG2L}

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	2026-07-05T09:58:32.259222Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

159587a4b31edfd19d4c986d528ee6d2d6e299d27ab4024ee272fee59baa85dd

Aliases

arxiv: 2501.04251 · arxiv_version: 2501.04251v1 · doi: 10.48550/arxiv.2501.04251 · pith_short_12: CWKYPJFTD3P5 · pith_short_16: CWKYPJFTD3P5DHKM · pith_short_8: CWKYPJFT

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/CWKYPJFTD3P5DHKMTBWVFDXG2L \
  | 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: 159587a4b31edfd19d4c986d528ee6d2d6e299d27ab4024ee272fee59baa85dd

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3e89569586466df30b3d92e0defc949e28e62bff55016d67605b4d7a308a7402",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "stat.ME",
    "submitted_at": "2025-01-08T03:28:45Z",
    "title_canon_sha256": "48194c5ff59af8ad45f875d65a5740de251b462aef0b1d1a18b4eb5a80906fc8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2501.04251",
    "kind": "arxiv",
    "version": 1
  }
}