Pith Number

pith:AZTZAEVA

pith:2012:AZTZAEVAAIYCJ2AAKYQD4473T6

not attested not anchored not stored refs pending

Permanents, Determinants, Weighted Isobaric Polynomials and Integer Sequences

Huilan Li, Trueman MacHenry

arxiv:1209.4591 v1 · 2012-09-20 · math.NT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{AZTZAEVAAIYCJ2AAKYQD4473T6}

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	2026-05-18T03:45:11.243123Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

06679012a0023024e80056203e73fb9fa471ecf03bd0d3e2f1b9f4e553bf3879

Aliases

arxiv: 1209.4591 · arxiv_version: 1209.4591v1 · doi: 10.48550/arxiv.1209.4591 · pith_short_12: AZTZAEVAAIYC · pith_short_16: AZTZAEVAAIYCJ2AA · pith_short_8: AZTZAEVA

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/AZTZAEVAAIYCJ2AAKYQD4473T6 \
  | 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: 06679012a0023024e80056203e73fb9fa471ecf03bd0d3e2f1b9f4e553bf3879

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4b47af53b44ba5b12032dcd9131be73283a23e1cf34e22f333c85750d0ed5ae0",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2012-09-20T17:44:10Z",
    "title_canon_sha256": "04e5844ac284e420574b8b8a6cd37d91dfac4817b574603a1a1d42fc93dfe755"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1209.4591",
    "kind": "arxiv",
    "version": 1
  }
}