Pith Number

pith:PZ2SFSBX

pith:2017:PZ2SFSBXUKRI3FSCONODADDRC5

not attested not anchored not stored refs pending

Structural properties of edge-chromatic critical multigraphs

Guangming Jing, Guantao Chen

arxiv:1709.04568 v2 · 2017-09-14 · 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{PZ2SFSBXUKRI3FSCONODADDRC5}

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	2026-05-18T00:05:24.018986Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7e7522c837a2a28d9642735c300c71174db92e1c021078090cf57218c67e1dc1

Aliases

arxiv: 1709.04568 · arxiv_version: 1709.04568v2 · doi: 10.48550/arxiv.1709.04568 · pith_short_12: PZ2SFSBXUKRI · pith_short_16: PZ2SFSBXUKRI3FSC · pith_short_8: PZ2SFSBX

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/PZ2SFSBXUKRI3FSCONODADDRC5 \
  | 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: 7e7522c837a2a28d9642735c300c71174db92e1c021078090cf57218c67e1dc1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e9e1eedb808b6fa30c51f949367bf4d0f1c7ab5310c90ed0ca59da49eeda1910",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2017-09-14T00:06:35Z",
    "title_canon_sha256": "845a28b6d2aee6a5242c277a032310d800901328ee872f2d051b4f247f989fc2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1709.04568",
    "kind": "arxiv",
    "version": 2
  }
}