Pith Number

pith:OWBOLIR2

pith:2013:OWBOLIR2ORK37XCRTLT5YBBJLZ

not attested not anchored not stored refs pending

Fundamental groups of random clique complexes

Armindo Costa, Danijela Horak, Michael Farber

arxiv:1312.1208 v3 · 2013-12-04 · math.AT · 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{OWBOLIR2ORK37XCRTLT5YBBJLZ}

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	2026-05-18T01:53:09.621469Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7582e5a23a7455bfdc519ae7dc04295e6a88cbb8be163fe3f90cfc66c8984d1e

Aliases

arxiv: 1312.1208 · arxiv_version: 1312.1208v3 · doi: 10.48550/arxiv.1312.1208 · pith_short_12: OWBOLIR2ORK3 · pith_short_16: OWBOLIR2ORK37XCR · pith_short_8: OWBOLIR2

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/OWBOLIR2ORK37XCRTLT5YBBJLZ \
  | 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: 7582e5a23a7455bfdc519ae7dc04295e6a88cbb8be163fe3f90cfc66c8984d1e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "612231672b2ec3ece489e1bf2ef90e7c55c8c8b6b58a9c248b22d7f36eb3e9f8",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://creativecommons.org/licenses/publicdomain/",
    "primary_cat": "math.AT",
    "submitted_at": "2013-12-04T15:31:23Z",
    "title_canon_sha256": "fd0674f297672dc6ea06016d01692e7e33fef555eb99b1a8d96eca01cdc7a413"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1312.1208",
    "kind": "arxiv",
    "version": 3
  }
}