Pith Number

pith:3MD26GUW

pith:2024:3MD26GUWUYMBR2SYJJHYKIS5GV

not attested not anchored not stored refs pending

Counting simplicial pairs in hypergraphs

Aaron Smith, Fran\c{c}ois Th\'eberge, Jordan Barrett, Pawe{\l} Pra{\l}at

arxiv:2408.11806 v4 · 2024-08-21 · cs.SI · cs.DM · math.CO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{3MD26GUWUYMBR2SYJJHYKIS5GV}

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.

Cited by

1 paper in Pith

Preferential Attachment as a Simpliciality-Enforcing Mechanism in Hypergraphs

Receipt and verification

First computed	2026-07-05T09:21:48.000598Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

db07af1a96a61818ea584a4f85225d35761f437d18e843a8c18a54fe3ac33ea6

Aliases

arxiv: 2408.11806 · arxiv_version: 2408.11806v4 · doi: 10.48550/arxiv.2408.11806 · pith_short_12: 3MD26GUWUYMB · pith_short_16: 3MD26GUWUYMBR2SY · pith_short_8: 3MD26GUW

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/3MD26GUWUYMBR2SYJJHYKIS5GV \
  | 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: db07af1a96a61818ea584a4f85225d35761f437d18e843a8c18a54fe3ac33ea6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "84801b6319f21fc6dfa38886d5c867b2973f52d640ea8731afe853f7ffebceb6",
    "cross_cats_sorted": [
      "cs.DM",
      "math.CO"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "cs.SI",
    "submitted_at": "2024-08-21T17:48:41Z",
    "title_canon_sha256": "d4dfbeb8afd2fb84a38d323952b768cc20c9bba3b18b28c50209adbeb4c424ae"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2408.11806",
    "kind": "arxiv",
    "version": 4
  }
}