Pith Number

pith:2GPAQIGB

pith:2015:2GPAQIGBCKJDRUCQ32LRJSW6JZ

not attested not anchored not stored refs pending

Types of signature analysis in reliability based on Hilbert series

Eduardo S\'aenz-de-Cabez\'on, Fatemeh Mohammadi, Henry P. Wynn

arxiv:1510.04427 v1 · 2015-10-15 · math.AC · math.PR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{2GPAQIGBCKJDRUCQ32LRJSW6JZ}

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	2026-05-18T01:30:07.233755Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d19e0820c1129238d050de9714cade4e44b31ba8d6b793b455c673b8841a92d8

Aliases

arxiv: 1510.04427 · arxiv_version: 1510.04427v1 · doi: 10.48550/arxiv.1510.04427 · pith_short_12: 2GPAQIGBCKJD · pith_short_16: 2GPAQIGBCKJDRUCQ · pith_short_8: 2GPAQIGB

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/2GPAQIGBCKJDRUCQ32LRJSW6JZ \
  | 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: d19e0820c1129238d050de9714cade4e44b31ba8d6b793b455c673b8841a92d8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7cceb8b96002159587c44834a550126657e115d242292ebf531c2d5fc7360b16",
    "cross_cats_sorted": [
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2015-10-15T07:32:31Z",
    "title_canon_sha256": "f6c8ac8dbea101edde8be9df21dd722e2decc575832da2b79e3fcee155b1d454"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1510.04427",
    "kind": "arxiv",
    "version": 1
  }
}