Pith Number

pith:TLUVNCON

pith:2010:TLUVNCON6QIREWGNRW55SOC5LU

not attested not anchored not stored refs pending

An Asymptotic Version of the Multigraph 1-Factorization Conjecture

E. R. Vaughan

arxiv:1010.5192 v1 · 2010-10-25 · 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{TLUVNCON6QIREWGNRW55SOC5LU}

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	2026-05-18T04:38:49.175918Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9ae95689cdf4111258cd8dbbd9385d5d251c68138ccbc4136d87585433e4d549

Aliases

arxiv: 1010.5192 · arxiv_version: 1010.5192v1 · doi: 10.48550/arxiv.1010.5192 · pith_short_12: TLUVNCON6QIR · pith_short_16: TLUVNCON6QIREWGN · pith_short_8: TLUVNCON

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/TLUVNCON6QIREWGNRW55SOC5LU \
  | 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: 9ae95689cdf4111258cd8dbbd9385d5d251c68138ccbc4136d87585433e4d549

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "512863d136619412239f9a93cb97231cbfac04a8bf45c85fb82c31553489f527",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2010-10-25T17:11:41Z",
    "title_canon_sha256": "d16e5b44d50a393a05ef020fa84f380b82e5d5bbd7164a21103281c558d44b67"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1010.5192",
    "kind": "arxiv",
    "version": 1
  }
}