Pith Number

pith:XEIIBA2U

pith:2009:XEIIBA2UXD6GP5SRD5G7OMMILU

not attested not anchored not stored refs pending

Incomplete A-Hypergeometric Systems

Kenta Nishiyama, Nobuki Takayama

arxiv:0907.0745 v3 · 2009-07-04 · math.CA · math.CV

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{XEIIBA2UXD6GP5SRD5G7OMMILU}

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	2026-05-18T04:14:18.324012Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b910808354b8fc67f6511f4df731885d38d3b60b936f219ef0aa26c63cb8e773

Aliases

arxiv: 0907.0745 · arxiv_version: 0907.0745v3 · doi: 10.48550/arxiv.0907.0745 · pith_short_12: XEIIBA2UXD6G · pith_short_16: XEIIBA2UXD6GP5SR · pith_short_8: XEIIBA2U

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/XEIIBA2UXD6GP5SRD5G7OMMILU \
  | 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: b910808354b8fc67f6511f4df731885d38d3b60b936f219ef0aa26c63cb8e773

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1ae5dc1986ad71841cf587a77e0a9445523acdd570ccc0b407a663baa2dee14e",
    "cross_cats_sorted": [
      "math.CV"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2009-07-04T07:55:36Z",
    "title_canon_sha256": "e67322ba18646afa0f2e0efb641ac7e599f34426d9b0b19d3ed1846c27d292ef"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0907.0745",
    "kind": "arxiv",
    "version": 3
  }
}