Pith Number

pith:TXNAZ3UG

pith:2011:TXNAZ3UGSRJPNDZH6BX5QBFXON

not attested not anchored not stored refs pending

Towards on-line Ohba's conjecture

Jakub Kozik, Piotr Micek, Xuding Zhu

arxiv:1111.5458 v2 · 2011-11-23 · math.CO · cs.DM

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{TXNAZ3UGSRJPNDZH6BX5QBFXON}

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	2026-05-18T03:39:05.334594Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9dda0cee869452f68f27f06fd804b773701325ed77d93030cfb0f073890a8508

Aliases

arxiv: 1111.5458 · arxiv_version: 1111.5458v2 · doi: 10.48550/arxiv.1111.5458 · pith_short_12: TXNAZ3UGSRJP · pith_short_16: TXNAZ3UGSRJPNDZH · pith_short_8: TXNAZ3UG

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/TXNAZ3UGSRJPNDZH6BX5QBFXON \
  | 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: 9dda0cee869452f68f27f06fd804b773701325ed77d93030cfb0f073890a8508

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "601ad3bb14c00c951355704e07bc3a7e21fba04f1c13cc331caa557ba1d7feb4",
    "cross_cats_sorted": [
      "cs.DM"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2011-11-23T11:13:19Z",
    "title_canon_sha256": "610a898038c2aa00a64b015168584d46330a8e1032c5c8e1227de2d4148dc079"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1111.5458",
    "kind": "arxiv",
    "version": 2
  }
}