Pith Number

pith:CEW3OVLT

pith:2009:CEW3OVLTQPC6IJ53I5JANW472C

not attested not anchored not stored refs pending

Supercongruences satisfied by coefficients of 2F1 hypergeometric series

Aristides Kontogeorgis, Christian Krattenthaler, Heng Huat Chan, Robert Osburn

arxiv:0912.0620 v1 · 2009-12-03 · math.NT · 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{CEW3OVLTQPC6IJ53I5JANW472C}

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	2026-05-18T04:41:34.963172Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

112db7557383c5e427bb475206db9fd09ebfea12d2d7d824fefda448d915073a

Aliases

arxiv: 0912.0620 · arxiv_version: 0912.0620v1 · doi: 10.48550/arxiv.0912.0620 · pith_short_12: CEW3OVLTQPC6 · pith_short_16: CEW3OVLTQPC6IJ53 · pith_short_8: CEW3OVLT

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/CEW3OVLTQPC6IJ53I5JANW472C \
  | 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: 112db7557383c5e427bb475206db9fd09ebfea12d2d7d824fefda448d915073a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "92ce2832910b3443a1c8d0f24536eaf2c8b964bba4db724868155eb577137bb3",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2009-12-03T10:42:26Z",
    "title_canon_sha256": "5b6c0991685d03657b793b04b6a1a5ccdd0db625afa1c7fb7f925f1a664b5f21"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0912.0620",
    "kind": "arxiv",
    "version": 1
  }
}