Pith Number

pith:RTGTE3C7

pith:2012:RTGTE3C75OX4KKTOTMCTW3UGHV

not attested not anchored not stored refs pending

The asphericity of random 2-dimensional complexes

A.E. Costa, M. Farber

arxiv:1211.3653 v1 · 2012-11-15 · math.AT · 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{RTGTE3C75OX4KKTOTMCTW3UGHV}

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	2026-05-18T03:40:39.167129Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8ccd326c5febafc52a6e9b053b6e863d7e3c285afedba92ce7f242c698367bf6

Aliases

arxiv: 1211.3653 · arxiv_version: 1211.3653v1 · doi: 10.48550/arxiv.1211.3653 · pith_short_12: RTGTE3C75OX4 · pith_short_16: RTGTE3C75OX4KKTO · pith_short_8: RTGTE3C7

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/RTGTE3C75OX4KKTOTMCTW3UGHV \
  | 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: 8ccd326c5febafc52a6e9b053b6e863d7e3c285afedba92ce7f242c698367bf6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "11f0cfe2715bf67db12d759b54a02c135ed5ed7e4f5fe230f24731c93aca29cf",
    "cross_cats_sorted": [
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AT",
    "submitted_at": "2012-11-15T16:48:21Z",
    "title_canon_sha256": "99e663b738e813b6d10bea48bb7a298fcc1a7f1523e83095e7f93fe9e154530f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1211.3653",
    "kind": "arxiv",
    "version": 1
  }
}