Pith Number

pith:DIIGB2LK

pith:2012:DIIGB2LKQXRYMRTGX573J5FYBX

not attested not anchored not stored refs pending

5-choosability of graphs with crossings far apart

Bernard Lidicky, Bojan Mohar, Zdenek Dvorak

arxiv:1201.3014 v3 · 2012-01-14 · 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{DIIGB2LKQXRYMRTGX573J5FYBX}

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	2026-05-18T00:54:58.501211Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1a1060e96a85e3864666bf7fb4f4b80dcf8beebd55cc0cc01fa67fb82691a52b

Aliases

arxiv: 1201.3014 · arxiv_version: 1201.3014v3 · doi: 10.48550/arxiv.1201.3014 · pith_short_12: DIIGB2LKQXRY · pith_short_16: DIIGB2LKQXRYMRTG · pith_short_8: DIIGB2LK

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/DIIGB2LKQXRYMRTGX573J5FYBX \
  | 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: 1a1060e96a85e3864666bf7fb4f4b80dcf8beebd55cc0cc01fa67fb82691a52b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8d5a3a2fb1c713f92782f5248848eaa05d4edf570deba7ca67a784560ba9897c",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2012-01-14T14:05:52Z",
    "title_canon_sha256": "c746c0bbacd8649cf4f401093c43a3282533923b658825d3bb5f7f368bcde2bb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1201.3014",
    "kind": "arxiv",
    "version": 3
  }
}