Pith Number

pith:XQGYBKI2

pith:2012:XQGYBKI2PK2DOQMPMMTDY7NGT3

not attested not anchored not stored refs pending

An improved bound on acyclic chromatic index of planar graphs

Jianfeng Hou, Yingyuan Yang, Yue Guan

arxiv:1203.5186 v1 · 2012-03-23 · math.CO · 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{XQGYBKI2PK2DOQMPMMTDY7NGT3}

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	2026-05-18T03:59:26.647733Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bc0d80a91a7ab437418f63263c7da69ed6f211ec51ac4d635f5edda4172f5f05

Aliases

arxiv: 1203.5186 · arxiv_version: 1203.5186v1 · doi: 10.48550/arxiv.1203.5186 · pith_short_12: XQGYBKI2PK2D · pith_short_16: XQGYBKI2PK2DOQMP · pith_short_8: XQGYBKI2

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/XQGYBKI2PK2DOQMPMMTDY7NGT3 \
  | 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: bc0d80a91a7ab437418f63263c7da69ed6f211ec51ac4d635f5edda4172f5f05

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e7327a7104f70334d6b3532f43ca85d9e93e1d1c17804dc93212cf708d6a0e00",
    "cross_cats_sorted": [
      "cs.DM"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2012-03-23T07:08:32Z",
    "title_canon_sha256": "ff857dc53f3451b4bac1f2b11856c829dc08cdd8ad1771f5057400e62e096160"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1203.5186",
    "kind": "arxiv",
    "version": 1
  }
}