Pith Number

pith:2I64BWYU

pith:2019:2I64BWYUDJFPSCTLNBS3TMKF7H

not attested not anchored not stored refs pending

On the Universality and Extremality of graphs with a distance constrained colouring

Kaushik Majumder, Ushnish Sarkar

arxiv:1901.00989 v1 · 2019-01-04 · 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{2I64BWYUDJFPSCTLNBS3TMKF7H}

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	2026-05-17T23:56:57.497375Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d23dc0db141a4af90a6b6865b9b145f9e2e26c9811ca239f68ca92b863367fab

Aliases

arxiv: 1901.00989 · arxiv_version: 1901.00989v1 · doi: 10.48550/arxiv.1901.00989 · pith_short_12: 2I64BWYUDJFP · pith_short_16: 2I64BWYUDJFPSCTL · pith_short_8: 2I64BWYU

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/2I64BWYUDJFPSCTLNBS3TMKF7H \
  | 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: d23dc0db141a4af90a6b6865b9b145f9e2e26c9811ca239f68ca92b863367fab

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2f38a0bbc2d7e0c7a3ddeda5fa611cf76eec24f26a76742f59e486e05bcba959",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2019-01-04T05:55:58Z",
    "title_canon_sha256": "b5ba3d2bc9f79864729cf528641bfb67450837dccfd3304a52c9828de20c04fe"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1901.00989",
    "kind": "arxiv",
    "version": 1
  }
}