Pith Number

pith:BA4CSCI7

pith:2012:BA4CSCI7CQIEFRTEAYRKUDOWWH

not attested not anchored not stored refs pending

An improved upper bound on the adjacent vertex distinguishing chromatic index of a graph

Ko-Wei Lih, Lianzhu Zhang, Weifan Wang

arxiv:1208.2315 v1 · 2012-08-11 · 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{BA4CSCI7CQIEFRTEAYRKUDOWWH}

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	2026-05-18T03:48:58.212066Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

083829091f141042c6640622aa0dd6b1eb72b0f5f03a2ec25cf2c1ef839bb594

Aliases

arxiv: 1208.2315 · arxiv_version: 1208.2315v1 · doi: 10.48550/arxiv.1208.2315 · pith_short_12: BA4CSCI7CQIE · pith_short_16: BA4CSCI7CQIEFRTE · pith_short_8: BA4CSCI7

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/BA4CSCI7CQIEFRTEAYRKUDOWWH \
  | 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: 083829091f141042c6640622aa0dd6b1eb72b0f5f03a2ec25cf2c1ef839bb594

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0d0d986fb774d9176f3012694040bd3e3ac18217c1c72eb6693f536c6cfb35b3",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2012-08-11T07:10:07Z",
    "title_canon_sha256": "1159c6a5d35b629e1e20ed52ad48d9e3ae0cf16d0316929658cfdf819ff331d7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1208.2315",
    "kind": "arxiv",
    "version": 1
  }
}