Pith Number

pith:ARH2ZI3X

pith:2016:ARH2ZI3XTAFTUFFTK7PYFZ4WAS

not attested not anchored not stored refs pending

A note on the double-critical graph conjecture

Alexander Yu, Hao Huang

arxiv:1604.05262 v1 · 2016-04-18 · 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{ARH2ZI3XTAFTUFFTK7PYFZ4WAS}

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	2026-05-18T01:16:55.128465Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

044faca377980b3a14b357df82e79604b277db8e725ba93f7a4762d76ce4f38f

Aliases

arxiv: 1604.05262 · arxiv_version: 1604.05262v1 · doi: 10.48550/arxiv.1604.05262 · pith_short_12: ARH2ZI3XTAFT · pith_short_16: ARH2ZI3XTAFTUFFT · pith_short_8: ARH2ZI3X

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/ARH2ZI3XTAFTUFFTK7PYFZ4WAS \
  | 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: 044faca377980b3a14b357df82e79604b277db8e725ba93f7a4762d76ce4f38f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "38b31158bed8365cfd7d9d05a516a8cca5cbe404853e5b9e36e8d5a6fdc237a3",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2016-04-18T17:40:52Z",
    "title_canon_sha256": "ce535cb64954a67c6849a05b75101aa943774d1c3ed87444c16e2c5758ed3723"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1604.05262",
    "kind": "arxiv",
    "version": 1
  }
}