Pith Number

pith:NY5GVOQC

pith:2016:NY5GVOQCILR6TNZIIW6S66Y3Y6

not attested not anchored not stored refs pending

Chromatic index determined by fractional chromatic index

Guantao Chen, Luke Postle, Ringi Kim, Songling Shan, Yuping Gao

arxiv:1606.07927 v2 · 2016-06-25 · 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{NY5GVOQCILR6TNZIIW6S66Y3Y6}

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	2026-05-18T00:55:21.089037Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6e3a6aba0242e3e9b72845bd2f7b1bc78e5d89ec9cb4e311bff8e1dbbc0fa3fa

Aliases

arxiv: 1606.07927 · arxiv_version: 1606.07927v2 · doi: 10.48550/arxiv.1606.07927 · pith_short_12: NY5GVOQCILR6 · pith_short_16: NY5GVOQCILR6TNZI · pith_short_8: NY5GVOQC

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/NY5GVOQCILR6TNZIIW6S66Y3Y6 \
  | 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: 6e3a6aba0242e3e9b72845bd2f7b1bc78e5d89ec9cb4e311bff8e1dbbc0fa3fa

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cfc4ddac52b3edd6ea28eb7de718ff09c0865741dd767dc41deb3489eb3873d7",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2016-06-25T16:09:15Z",
    "title_canon_sha256": "4c3bb0bd167591dbc6f886a5cb11797ff620078c346f03eb6f5007b7b8fefc7f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1606.07927",
    "kind": "arxiv",
    "version": 2
  }
}