Pith Number

pith:TH3XCGA4

pith:2012:TH3XCGA4ZQDJKQVYMTLRAKQ7PT

not attested not anchored not stored refs pending

Bucolic Complexes

Bostjan Bre\v{s}ar, Damian Osajda, J\'er\'emie Chalopin, Tanja Gologranc, Victor Chepoi

arxiv:1202.1149 v2 · 2012-02-06 · math.CO · math.GR · math.MG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{TH3XCGA4ZQDJKQVYMTLRAKQ7PT}

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	2026-05-17T23:58:55.034133Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

99f771181ccc069542b864d7102a1f7ce10aa181a970f568fe05c59680a90d60

Aliases

arxiv: 1202.1149 · arxiv_version: 1202.1149v2 · doi: 10.48550/arxiv.1202.1149 · pith_short_12: TH3XCGA4ZQDJ · pith_short_16: TH3XCGA4ZQDJKQVY · pith_short_8: TH3XCGA4

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/TH3XCGA4ZQDJKQVYMTLRAKQ7PT \
  | 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: 99f771181ccc069542b864d7102a1f7ce10aa181a970f568fe05c59680a90d60

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d0eda5ca3980731e283383c92d9eb439208c3b066846e7a911f2c849f8b802f3",
    "cross_cats_sorted": [
      "math.GR",
      "math.MG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2012-02-06T14:23:34Z",
    "title_canon_sha256": "6e8ab0ffc1bf46cebbedfc25477b533bd2068220a56ff0dd38d3a2a10260d702"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1202.1149",
    "kind": "arxiv",
    "version": 2
  }
}