Pith Number

pith:TV4LQZER

pith:2013:TV4LQZERZHF74LNNQCSCVNU4QZ

not attested not anchored not stored refs pending

Upper bounds on the number of perfect matchings and directed 2-factors in graphs with given number of vertices and edges

K. Markstrom, M. Aaghabali, S. Akbari, S. Friedland, Z. Tajfirouz

arxiv:1310.5634 v2 · 2013-10-21 · 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{TV4LQZERZHF74LNNQCSCVNU4QZ}

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	2026-05-18T02:46:13.041336Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9d78b86491c9cbfe2dad80a42ab69c865a6cb62e4dff6b687e115f88aa7c9471

Aliases

arxiv: 1310.5634 · arxiv_version: 1310.5634v2 · doi: 10.48550/arxiv.1310.5634 · pith_short_12: TV4LQZERZHF7 · pith_short_16: TV4LQZERZHF74LNN · pith_short_8: TV4LQZER

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/TV4LQZERZHF74LNNQCSCVNU4QZ \
  | 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: 9d78b86491c9cbfe2dad80a42ab69c865a6cb62e4dff6b687e115f88aa7c9471

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0398f4a955fce43bdef009000f8b77b68b2894b760b5164a5cb62f41b90bbda1",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2013-10-21T16:37:21Z",
    "title_canon_sha256": "0fff94b5b8957f05679e43fa127ecdf9c60b9d3286c21530de8a080334874c9c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1310.5634",
    "kind": "arxiv",
    "version": 2
  }
}