Pith Number

pith:2NZPACKB

pith:2015:2NZPACKBAWYIZ7TGTZS3FIZBEL

not attested not anchored not stored refs pending

Parameterizing the Permanent: Genus, Apices, Minors, Evaluation mod 2^k

Mingji Xia, Radu Curticapean

arxiv:1511.02321 v1 · 2015-11-07 · cs.CC

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{2NZPACKBAWYIZ7TGTZS3FIZBEL}

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	2026-05-18T01:27:30.660690Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d372f0094105b08cfe669e65b2a32122ce0ebab0af11e9db632d162e63921599

Aliases

arxiv: 1511.02321 · arxiv_version: 1511.02321v1 · doi: 10.48550/arxiv.1511.02321 · pith_short_12: 2NZPACKBAWYI · pith_short_16: 2NZPACKBAWYIZ7TG · pith_short_8: 2NZPACKB

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/2NZPACKBAWYIZ7TGTZS3FIZBEL \
  | 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: d372f0094105b08cfe669e65b2a32122ce0ebab0af11e9db632d162e63921599

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3cca087fdcbe70b183ac063ab46cc3cf661b20ff5ad35a28ae7aeede708ecb97",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.CC",
    "submitted_at": "2015-11-07T08:28:25Z",
    "title_canon_sha256": "66c192da6dd4d6fa374d6623e4ac01ff54c0194bb06c9f5d54a82644351a2289"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1511.02321",
    "kind": "arxiv",
    "version": 1
  }
}