Pith Number

pith:AN44356M

pith:2011:AN44356MXELI2TCYFPMGQ26JOI

not attested not anchored not stored refs pending

Shortest Non-trivial Cycles in Directed and Undirected Surface Graphs

Kyle Fox

arxiv:1111.6990 v3 · 2011-11-29 · cs.CG · cs.DM · cs.DS

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{AN44356MXELI2TCYFPMGQ26JOI}

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	2026-05-18T03:45:21.163305Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0379cdf7ccb9168d4c582bd8686bc97215b12c6a1a60ce39b7623f77a55a797b

Aliases

arxiv: 1111.6990 · arxiv_version: 1111.6990v3 · doi: 10.48550/arxiv.1111.6990 · pith_short_12: AN44356MXELI · pith_short_16: AN44356MXELI2TCY · pith_short_8: AN44356M

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/AN44356MXELI2TCYFPMGQ26JOI \
  | 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: 0379cdf7ccb9168d4c582bd8686bc97215b12c6a1a60ce39b7623f77a55a797b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "27f261aec8bb3bd6f9c0a01ffa8c4343f8dfd4b1f88340b1061e31a6ebe373cb",
    "cross_cats_sorted": [
      "cs.DM",
      "cs.DS"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.CG",
    "submitted_at": "2011-11-29T21:24:21Z",
    "title_canon_sha256": "3e6eecdef85c94be39c78b2db18daa9e21056732fc0bf76487098984cdd4b88e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1111.6990",
    "kind": "arxiv",
    "version": 3
  }
}