Pith Number

pith:ENX7D72T

pith:2011:ENX7D72T3DIL2ENSLR7YPMOHB3

not attested not anchored not stored refs pending

5-choosability of graphs with 2 crossings

Fr\'ed\'eric Havet, Victor Campos

arxiv:1105.2723 v1 · 2011-05-13 · 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{ENX7D72T3DIL2ENSLR7YPMOHB3}

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	2026-05-18T04:22:09.712371Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

236ff1ff53d8d0bd11b25c7f87b1c70ec80d4d2318a2689dd2d88e403bffd600

Aliases

arxiv: 1105.2723 · arxiv_version: 1105.2723v1 · doi: 10.48550/arxiv.1105.2723 · pith_short_12: ENX7D72T3DIL · pith_short_16: ENX7D72T3DIL2ENS · pith_short_8: ENX7D72T

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/ENX7D72T3DIL2ENSLR7YPMOHB3 \
  | 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: 236ff1ff53d8d0bd11b25c7f87b1c70ec80d4d2318a2689dd2d88e403bffd600

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "32f2b7196c3b493af9ebfd4ad9b7ebd4e5becf14e3d21ae7a0cf43cfdf1c4afd",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2011-05-13T13:24:59Z",
    "title_canon_sha256": "a808c86221745a1bfd4600677e0d52cf10a965bfe98912d406bff7a15b192655"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1105.2723",
    "kind": "arxiv",
    "version": 1
  }
}