Pith Number

pith:6EUL5A4W

pith:2020:6EUL5A4WLHXGAEFU2V2AZL5AE6

not attested not anchored not stored refs pending

Graph Polynomials and Group Coloring of Graphs

Bart{\l}omiej Bosek, Grzegorz Gutowski, Jaros{\l}aw Grytczuk, Mariusz Zaj\k{a}c, Oriol Serra

arxiv:2012.03230 v2 · 2020-12-06 · 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{6EUL5A4WLHXGAEFU2V2AZL5AE6}

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	2026-07-05T07:19:39.944603Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f128be839659ee6010b4d5740cafa027ada6ea2fbc652c609e6760fb99fea41e

Aliases

arxiv: 2012.03230 · arxiv_version: 2012.03230v2 · doi: 10.48550/arxiv.2012.03230 · pith_short_12: 6EUL5A4WLHXG · pith_short_16: 6EUL5A4WLHXGAEFU · pith_short_8: 6EUL5A4W

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/6EUL5A4WLHXGAEFU2V2AZL5AE6 \
  | 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: f128be839659ee6010b4d5740cafa027ada6ea2fbc652c609e6760fb99fea41e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e39e47f34df1a6fda0104d558d1ff0751e033cd3eca4c93791d7d85019fe545f",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by-sa/4.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2020-12-06T10:46:44Z",
    "title_canon_sha256": "2ffc246b622ecf64050f6d16ead3fd1550fd56f62da96169476c5473af764bd9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2012.03230",
    "kind": "arxiv",
    "version": 2
  }
}