Pith Number

pith:7C5BV3F5

pith:2015:7C5BV3F5GWEPK7EXPMCOCCRZMB

not attested not anchored not stored refs pending

Large Random Simplicial Complexes, III; The Critical Dimension

A. Costa, M. Farber

arxiv:1512.08714 v1 · 2015-12-29 · math.AT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{7C5BV3F5GWEPK7EXPMCOCCRZMB}

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	2026-05-18T01:23:35.064396Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f8ba1aecbd3588f57c977b04e10a39607ac0468ceddbf2dcbe8afb1bb25c2eae

Aliases

arxiv: 1512.08714 · arxiv_version: 1512.08714v1 · doi: 10.48550/arxiv.1512.08714 · pith_short_12: 7C5BV3F5GWEP · pith_short_16: 7C5BV3F5GWEPK7EX · pith_short_8: 7C5BV3F5

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/7C5BV3F5GWEPK7EXPMCOCCRZMB \
  | 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: f8ba1aecbd3588f57c977b04e10a39607ac0468ceddbf2dcbe8afb1bb25c2eae

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f0a16ab4c57673359ac43d5d69a192f39fdc213683280651271149ba1a3b17aa",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AT",
    "submitted_at": "2015-12-29T16:26:03Z",
    "title_canon_sha256": "9faa604c4195817b52abc00580b2d952a49b2c99acb5054e6015d1afc0c02d20"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1512.08714",
    "kind": "arxiv",
    "version": 1
  }
}