Pith Number

pith:BKGZXOGP

pith:1998:BKGZXOGPJM5C5IA3ILXTT3H6YX

not attested not anchored not stored refs pending

Hypergeometric periods for a tame polynomial

Claude Sabbah

arxiv:math/9805077 v1 · 1998-05-18 · math.AG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{BKGZXOGPJM5C5IA3ILXTT3H6YX}

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	2026-05-18T04:32:09.857102Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0a8d9bb8cf4b3a2ea01b42ef39ecfec5f9e231983a1e9ebab94a9cfe91f11ee6

Aliases

arxiv: math/9805077 · arxiv_version: math/9805077v1 · doi: 10.48550/arxiv.math/9805077 · pith_short_12: BKGZXOGPJM5C · pith_short_16: BKGZXOGPJM5C5IA3 · pith_short_8: BKGZXOGP

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/BKGZXOGPJM5C5IA3ILXTT3H6YX \
  | 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: 0a8d9bb8cf4b3a2ea01b42ef39ecfec5f9e231983a1e9ebab94a9cfe91f11ee6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4686f37addefc89d614b0d44f43e59da682333c28457e1a28ac3744eb6b7c25f",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.AG",
    "submitted_at": "1998-05-18T15:09:21Z",
    "title_canon_sha256": "9714b00b5d7263ab523990439fa0dc525fb5ff93b012da1f81e9c1f62ae31781"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/9805077",
    "kind": "arxiv",
    "version": 1
  }
}