Pith Number

pith:JNGSZNBP

pith:2013:JNGSZNBPCH6H56BFTTCXXVABGD

not attested not anchored not stored refs pending

$(3,1)^*$-choosability of planar graphs without adjacent short cycles

Andre Raspaud, Min Chen

arxiv:1302.2599 v1 · 2013-02-11 · 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{JNGSZNBPCH6H56BFTTCXXVABGD}

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	2026-05-18T03:34:00.666774Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4b4d2cb42f11fc7ef8259cc57bd40130c003b9099e3f4b515930dd402541210d

Aliases

arxiv: 1302.2599 · arxiv_version: 1302.2599v1 · doi: 10.48550/arxiv.1302.2599 · pith_short_12: JNGSZNBPCH6H · pith_short_16: JNGSZNBPCH6H56BF · pith_short_8: JNGSZNBP

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/JNGSZNBPCH6H56BFTTCXXVABGD \
  | 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: 4b4d2cb42f11fc7ef8259cc57bd40130c003b9099e3f4b515930dd402541210d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e6b4eeecc6225c79b4d375a4c1c43a753d43da953532ba5429a40876e955b761",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2013-02-11T20:15:58Z",
    "title_canon_sha256": "ecbd588eaeea40fcb0343ace21110ed01f96a7079ca5312a0122e845173e7ee1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1302.2599",
    "kind": "arxiv",
    "version": 1
  }
}