Pith Number

pith:3L7YHT7P

pith:2012:3L7YHT7PDQZAPM4QLIDZRYHZEK

not attested not anchored not stored refs pending

Pfaffian Systems of A-Hypergeometric Equations I: Bases of Twisted Cohomology Groups

Kenta Nishiyama, Nobuki Takayama, Takayuki Hibi

arxiv:1212.6103 v3 · 2012-12-25 · math.CA · cs.SC · 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{3L7YHT7PDQZAPM4QLIDZRYHZEK}

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	2026-05-18T02:49:31.869405Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

daff83cfef1c3207b3905a0798e0f922b14e6598cf786212d0fd6bc149d6f3a0

Aliases

arxiv: 1212.6103 · arxiv_version: 1212.6103v3 · doi: 10.48550/arxiv.1212.6103 · pith_short_12: 3L7YHT7PDQZA · pith_short_16: 3L7YHT7PDQZAPM4Q · pith_short_8: 3L7YHT7P

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/3L7YHT7PDQZAPM4QLIDZRYHZEK \
  | 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: daff83cfef1c3207b3905a0798e0f922b14e6598cf786212d0fd6bc149d6f3a0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bdc3c50dc5e90acf60a9e93c8457415bab9bc4d8bc30cc9a61a76b9908e250a7",
    "cross_cats_sorted": [
      "cs.SC",
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2012-12-25T23:49:03Z",
    "title_canon_sha256": "4d9fee366b3df867866c8e739521cb61a9efb4d359f7dec5d7244f57d9023a19"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1212.6103",
    "kind": "arxiv",
    "version": 3
  }
}