Pith Number

pith:UHYLN2RP

pith:2011:UHYLN2RPLTYGJP3BAKAEDURQFP

not attested not anchored not stored refs pending

Automatic Generation of Generating Functions for Chromatic Polynomials for Grid Graphs (and more general creatures) of Fixed (but arbitrary!) Width

Doron Zeilberger, Jocelyn Quaintance, Shalosh B. Ekhad

arxiv:1103.6206 v1 · 2011-03-31 · 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{UHYLN2RPLTYGJP3BAKAEDURQFP}

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	2026-05-18T04:25:13.716187Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a1f0b6ea2f5cf064bf61028041d2302bd3c35e681baea4b1e3ef933e2c6c1676

Aliases

arxiv: 1103.6206 · arxiv_version: 1103.6206v1 · doi: 10.48550/arxiv.1103.6206 · pith_short_12: UHYLN2RPLTYG · pith_short_16: UHYLN2RPLTYGJP3B · pith_short_8: UHYLN2RP

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/UHYLN2RPLTYGJP3BAKAEDURQFP \
  | 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: a1f0b6ea2f5cf064bf61028041d2302bd3c35e681baea4b1e3ef933e2c6c1676

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c2a16d406a199ecd58e6d3516a5e10197c8b76b2201164fbe01ac0943da55925",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2011-03-31T15:04:06Z",
    "title_canon_sha256": "682c816de5d430cb850a6754aff2a8540672774380b2730432b43257640bb9cc"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1103.6206",
    "kind": "arxiv",
    "version": 1
  }
}