Pith Number

pith:TMR3OR4Z

pith:2015:TMR3OR4Z3PE45MBSR3ZSRLDE3H

not attested not anchored not stored refs pending

2-complexes with large 2-girth

Dominic Dotterrer, Larry Guth, Matthew Kahle

arxiv:1509.03871 v2 · 2015-09-13 · math.AT · math.CO · math.PR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{TMR3OR4Z3PE45MBSR3ZSRLDE3H}

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	2026-05-18T00:40:41.713611Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9b23b74799dbc9ceb0328ef328ac64d9d99efe62affc6e8da5314810331d5218

Aliases

arxiv: 1509.03871 · arxiv_version: 1509.03871v2 · doi: 10.48550/arxiv.1509.03871 · pith_short_12: TMR3OR4Z3PE4 · pith_short_16: TMR3OR4Z3PE45MBS · pith_short_8: TMR3OR4Z

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/TMR3OR4Z3PE45MBSR3ZSRLDE3H \
  | 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: 9b23b74799dbc9ceb0328ef328ac64d9d99efe62affc6e8da5314810331d5218

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ee7d720525898408b1268f0a84e07a468c802257eefb43abdf5639b0b6e87e0b",
    "cross_cats_sorted": [
      "math.CO",
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AT",
    "submitted_at": "2015-09-13T17:06:03Z",
    "title_canon_sha256": "d4411113fe74d37a1cac221ed18c9c9534791f45b476aad4861ecb33e3939237"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1509.03871",
    "kind": "arxiv",
    "version": 2
  }
}