Pith Number

pith:7Q6MP7ZL

pith:2006:7Q6MP7ZL5LREFZY3KS2QQA2HQB

not attested not anchored not stored refs pending

Gaussian hypergeometric series and supercongruences

Carsten Schneider, Robert Osburn

arxiv:math/0610281 v2 · 2006-10-09 · math.NT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{7Q6MP7ZL5LREFZY3KS2QQA2HQB}

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	2026-05-18T01:38:23.712691Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fc3cc7ff2beae242e71b54b5080347807b86ac1858537fd23d5237eca1ce4da7

Aliases

arxiv: math/0610281 · arxiv_version: math/0610281v2 · doi: 10.48550/arxiv.math/0610281 · pith_short_12: 7Q6MP7ZL5LRE · pith_short_16: 7Q6MP7ZL5LREFZY3 · pith_short_8: 7Q6MP7ZL

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/7Q6MP7ZL5LREFZY3KS2QQA2HQB \
  | 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: fc3cc7ff2beae242e71b54b5080347807b86ac1858537fd23d5237eca1ce4da7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7eb7bfb2801921a63728b53341848874c9bc96dabac7dbeedbae0d214c205e8b",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.NT",
    "submitted_at": "2006-10-09T11:15:26Z",
    "title_canon_sha256": "c715c23d146afb037e1df2bedc432a6d9f829ba6a4eda33070fd2b2d6bd67cdc"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0610281",
    "kind": "arxiv",
    "version": 2
  }
}