Pith Number

pith:SITXBPYH

pith:2012:SITXBPYHDUZM5HHYLEZV6NFNHW

not attested not anchored not stored refs pending

A generalization of the Gaussian formula and a q-analog of Fleck's congruence

Andrew Schultz, Robert Walker

arxiv:1202.0199 v1 · 2012-02-01 · 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{SITXBPYHDUZM5HHYLEZV6NFNHW}

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	2026-05-18T04:03:19.904216Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

922770bf071d32ce9cf859335f34ad3da4c35651d49056fa29d55a660fdb9215

Aliases

arxiv: 1202.0199 · arxiv_version: 1202.0199v1 · doi: 10.48550/arxiv.1202.0199 · pith_short_12: SITXBPYHDUZM · pith_short_16: SITXBPYHDUZM5HHY · pith_short_8: SITXBPYH

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/SITXBPYHDUZM5HHYLEZV6NFNHW \
  | 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: 922770bf071d32ce9cf859335f34ad3da4c35651d49056fa29d55a660fdb9215

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b95829f4663c388a4787a6fc84ecb967c6b59d1323f5bb48b4ccb6bf15b5dd70",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2012-02-01T16:14:51Z",
    "title_canon_sha256": "448e7b0f21214a2f48927ad398d38ec178eb228a162b2556edfc788e0d4ee388"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1202.0199",
    "kind": "arxiv",
    "version": 1
  }
}