Pith Number

pith:QMZCETQA

pith:2018:QMZCETQAMQPLLI5LPBXYRQGSYE

not attested not anchored not stored refs pending

Birkhoff-von Neumann Graphs that are PM-compact

Marcelo H. de Carvalho, Nishad Kothari, Xiumei Wang, Yixun Lin

arxiv:1807.07339 v2 · 2018-07-19 · 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{QMZCETQAMQPLLI5LPBXYRQGSYE}

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	2026-05-17T23:42:14.038729Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8332224e00641eb5a3ab786f88c0d2c11baa441f3ddd6ee1627f518a15feae75

Aliases

arxiv: 1807.07339 · arxiv_version: 1807.07339v2 · doi: 10.48550/arxiv.1807.07339 · pith_short_12: QMZCETQAMQPL · pith_short_16: QMZCETQAMQPLLI5L · pith_short_8: QMZCETQA

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/QMZCETQAMQPLLI5LPBXYRQGSYE \
  | 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: 8332224e00641eb5a3ab786f88c0d2c11baa441f3ddd6ee1627f518a15feae75

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d65faec7b0d9ac480dc2bb76cca54cb3ea5e0b7d22173eac2005a66145460b20",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2018-07-19T10:50:16Z",
    "title_canon_sha256": "2ee37b0a8324afafd161980cc2c591fe95642900c87ceb9e2311cef34c39fa6c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1807.07339",
    "kind": "arxiv",
    "version": 2
  }
}