Pith Number

pith:AHB6L2VJ

pith:2010:AHB6L2VJENBQRSWYVNPYQX2CCV

not attested not anchored not stored refs pending

Three-coloring triangle-free graphs on surfaces I. Extending a coloring to a disk with one triangle

Dan Kral, Robin Thomas, Zdenek Dvorak

arxiv:1010.2472 v3 · 2010-10-12 · 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{AHB6L2VJENBQRSWYVNPYQX2CCV}

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	2026-05-18T00:47:59.685516Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

01c3e5eaa9234308cad8ab5f885f42155545f97db74b84aae06a8355d661fc1b

Aliases

arxiv: 1010.2472 · arxiv_version: 1010.2472v3 · doi: 10.48550/arxiv.1010.2472 · pith_short_12: AHB6L2VJENBQ · pith_short_16: AHB6L2VJENBQRSWY · pith_short_8: AHB6L2VJ

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/AHB6L2VJENBQRSWYVNPYQX2CCV \
  | 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: 01c3e5eaa9234308cad8ab5f885f42155545f97db74b84aae06a8355d661fc1b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "dbbeb0e6e8352705da63c5215ea98fe8eb159531f9c6e1d567aa6fd81df1f6fc",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.DM",
    "submitted_at": "2010-10-12T18:55:07Z",
    "title_canon_sha256": "43bd8b956de4e3d8f8184a00316362f2ef03671bab3e558df1a19b180c95a7a3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1010.2472",
    "kind": "arxiv",
    "version": 3
  }
}