Pith Number

pith:SRN2SFZN

pith:2019:SRN2SFZNZTME3RU4XFYXNFDR3I

not attested not anchored not stored refs pending

The chromatic polynomial for cycle graphs

Heesung Shin, Jonghyeon Lee

arxiv:1907.04320 v1 · 2019-07-09 · math.GM

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{SRN2SFZNZTME3RU4XFYXNFDR3I}

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	2026-05-17T23:41:02.087035Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

945ba9172dccd84dc69cb971769471da0a36c4a558102e93e34617cf9eeb11a5

Aliases

arxiv: 1907.04320 · arxiv_version: 1907.04320v1 · doi: 10.48550/arxiv.1907.04320 · pith_short_12: SRN2SFZNZTME · pith_short_16: SRN2SFZNZTME3RU4 · pith_short_8: SRN2SFZN

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/SRN2SFZNZTME3RU4XFYXNFDR3I \
  | 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: 945ba9172dccd84dc69cb971769471da0a36c4a558102e93e34617cf9eeb11a5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "609b214f4e34f9b41239cc1fb0cb1495ef3920b0c6955f0fc4f75414aeb6f90c",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GM",
    "submitted_at": "2019-07-09T07:37:34Z",
    "title_canon_sha256": "fe413519e8828ba3cb00b8ad5716d52cabe0fa3d9c39aa60419358f29d6ec7a8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1907.04320",
    "kind": "arxiv",
    "version": 1
  }
}