Pith Number

pith:G7NSQBND

pith:2015:G7NSQBNDY7VKEQZS3K5MCMTGKJ

not attested not anchored not stored refs pending

Vizing's Conjecture for Almost All Pairs of Graphs

Aziz Contractor, Elliot Krop

arxiv:1502.00708 v1 · 2015-02-03 · 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{G7NSQBNDY7VKEQZS3K5MCMTGKJ}

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	2026-05-18T02:28:04.552447Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

37db2805a3c7eaa24332dabac13266527906c02b7c09f5f2c2d837c8aa78ccdc

Aliases

arxiv: 1502.00708 · arxiv_version: 1502.00708v1 · doi: 10.48550/arxiv.1502.00708 · pith_short_12: G7NSQBNDY7VK · pith_short_16: G7NSQBNDY7VKEQZS · pith_short_8: G7NSQBND

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/G7NSQBNDY7VKEQZS3K5MCMTGKJ \
  | 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: 37db2805a3c7eaa24332dabac13266527906c02b7c09f5f2c2d837c8aa78ccdc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "755ce0e26df89d739e35d6e77e04e4a659eab495a181cd17bdeb35741fe87053",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2015-02-03T02:13:29Z",
    "title_canon_sha256": "4464d88dabc14329e64510d309aa2b1f2a50de9a6ed303d9b5def341a94f7b53"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1502.00708",
    "kind": "arxiv",
    "version": 1
  }
}