Pith Number

pith:4H3X4MON

pith:2015:4H3X4MONW6PPB2RADP2RT7FCMF

not attested not anchored not stored refs pending

Chromatic and flow polynomials of generalized vertex join graphs and outerplanar graphs

Boris Brimkov, Illya V. Hicks

arxiv:1501.04388 v1 · 2015-01-19 · cs.DM · 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{4H3X4MONW6PPB2RADP2RT7FCMF}

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	2026-05-18T02:29:09.152462Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e1f77e31cdb79ef0ea201bf519fca2615c000f6190e3be4deab82536cb04627a

Aliases

arxiv: 1501.04388 · arxiv_version: 1501.04388v1 · doi: 10.48550/arxiv.1501.04388 · pith_short_12: 4H3X4MONW6PP · pith_short_16: 4H3X4MONW6PPB2RA · pith_short_8: 4H3X4MON

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/4H3X4MONW6PPB2RADP2RT7FCMF \
  | 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: e1f77e31cdb79ef0ea201bf519fca2615c000f6190e3be4deab82536cb04627a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5205cc481bcc949f8bbdfc4e4854f9c6d4e2eb536e5b76124c680c603ab1716f",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.DM",
    "submitted_at": "2015-01-19T05:09:25Z",
    "title_canon_sha256": "62e2ca6bae23701cb0cc9008820d94f5b466e3a61172815a21a2d331d5fb19a5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1501.04388",
    "kind": "arxiv",
    "version": 1
  }
}