Pith Number

pith:ZLDHJO4E

pith:2011:ZLDHJO4E2LE6MRMMIYPRFLAS5W

not attested not anchored not stored refs pending

On a family of symmetric hypergeometric functions of several variables and their Euler type integral representation

Changgui Zhang, Hua Chen, Zhuangchu Luo

arxiv:1112.4981 v1 · 2011-12-21 · math.AP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ZLDHJO4E2LE6MRMMIYPRFLAS5W}

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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	2026-05-18T04:05:56.613466Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cac674bb84d2c9e6458c461f12ac12ed861df2a798279e7ceb1922800b036819

Aliases

arxiv: 1112.4981 · arxiv_version: 1112.4981v1 · doi: 10.48550/arxiv.1112.4981 · pith_short_12: ZLDHJO4E2LE6 · pith_short_16: ZLDHJO4E2LE6MRMM · pith_short_8: ZLDHJO4E

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/ZLDHJO4E2LE6MRMMIYPRFLAS5W \
  | 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: cac674bb84d2c9e6458c461f12ac12ed861df2a798279e7ceb1922800b036819

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7ea13e2e56ace9a4f66f9cdf9382b1975bf4a7207ea4b3a77801fac401a39278",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2011-12-21T10:41:02Z",
    "title_canon_sha256": "52941ec133acc21dde9394540db5f9f988c6c8f8590bbf902e2570e386495c53"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1112.4981",
    "kind": "arxiv",
    "version": 1
  }
}