Pith Number

pith:RA52SFH5

pith:2019:RA52SFH5EOIOGWHLJ2WVPVKEAF

not attested not anchored not stored refs pending

Revisiting a theorem by Folkman on graph colouring

Aur\'elie Lagoutte, Gwena\"el Joret, Jean-S\'ebastien Sereni, Lucas Pastor, Marthe Bonamy, Oscar Defrain, Pierre Charbit, Vincent Limouzy

arxiv:1907.11429 v2 · 2019-07-26 · 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{RA52SFH5EOIOGWHLJ2WVPVKEAF}

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	2026-07-05T00:49:37.220699Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

883ba914fd2390e358eb4ead57d5440152f83dfd5aa2ee176662c1c26f1f15fe

Aliases

arxiv: 1907.11429 · arxiv_version: 1907.11429v2 · doi: 10.48550/arxiv.1907.11429 · pith_short_12: RA52SFH5EOIO · pith_short_16: RA52SFH5EOIOGWHL · pith_short_8: RA52SFH5

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/RA52SFH5EOIOGWHLJ2WVPVKEAF \
  | 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: 883ba914fd2390e358eb4ead57d5440152f83dfd5aa2ee176662c1c26f1f15fe

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "700a64b098eb3258c957d4f976196d92ce5cbbc4ea89b3d7cae7e586a85e1e5f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2019-07-26T08:34:55Z",
    "title_canon_sha256": "be262a212d3ec68605c26f26b8b4cb225972c1cdb2e491db9c11d887b41958cc"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1907.11429",
    "kind": "arxiv",
    "version": 2
  }
}