Pith Number

pith:K6OZWKTY

pith:2013:K6OZWKTY6FMAFVIITXDGP4DXJ2

not attested not anchored not stored refs pending

Systems of parameters and holonomicity of A-hypergeometric systems

Christine Berkesch, Ezra Miller, Stephen Griffeth

arxiv:1302.0048 v1 · 2013-02-01 · math.AG · math.AC

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{K6OZWKTY6FMAFVIITXDGP4DXJ2}

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	2026-05-18T01:22:25.764153Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

579d9b2a78f15802d5089dc667f0774e9a4a08dd74ca91966404428ebcd50ec5

Aliases

arxiv: 1302.0048 · arxiv_version: 1302.0048v1 · doi: 10.48550/arxiv.1302.0048 · pith_short_12: K6OZWKTY6FMA · pith_short_16: K6OZWKTY6FMAFVII · pith_short_8: K6OZWKTY

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/K6OZWKTY6FMAFVIITXDGP4DXJ2 \
  | 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: 579d9b2a78f15802d5089dc667f0774e9a4a08dd74ca91966404428ebcd50ec5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e5d2115ba45a41700ddf83a0a358b75c19e9bcc06e4909ce234ef2518b463632",
    "cross_cats_sorted": [
      "math.AC"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2013-02-01T00:23:27Z",
    "title_canon_sha256": "a45d40bcdb88ba13e94fb8934ea61945647ce0ee024e310955d7b4e5d3137e10"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1302.0048",
    "kind": "arxiv",
    "version": 1
  }
}