Pith Number

pith:HK57ZXA2

pith:2013:HK57ZXA25UZSQSCPBLJ5PYBM3N

not attested not anchored not stored refs pending

Polynomial graph invariants from homomorphism numbers

Andrew Goodall, Delia Garijo, Jaroslav Nesetril

arxiv:1308.3999 v1 · 2013-08-19 · 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{HK57ZXA25UZSQSCPBLJ5PYBM3N}

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	2026-05-18T03:15:35.112886Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3abbfcdc1aed3328484f0ad3d7e02cdb79d01622d9ab5d4289e83c1308ef48a7

Aliases

arxiv: 1308.3999 · arxiv_version: 1308.3999v1 · doi: 10.48550/arxiv.1308.3999 · pith_short_12: HK57ZXA25UZS · pith_short_16: HK57ZXA25UZSQSCP · pith_short_8: HK57ZXA2

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/HK57ZXA25UZSQSCPBLJ5PYBM3N \
  | 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: 3abbfcdc1aed3328484f0ad3d7e02cdb79d01622d9ab5d4289e83c1308ef48a7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3149f749c79fa341eb2db108d88e27f6f5f9c35df6be8545dd85b02e5b385c50",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2013-08-19T12:28:56Z",
    "title_canon_sha256": "7147b5c907d65016e5bcfb79263ad2a8d319d3a595bc09bab19000be3048f5fd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1308.3999",
    "kind": "arxiv",
    "version": 1
  }
}