Pith Number

pith:GIW6H66W

pith:2014:GIW6H66WI75UPRZ5N2IVOGIY47

not attested not anchored not stored refs pending

Multivariate Ap\'ery numbers and supercongruences of rational functions

Armin Straub

arxiv:1401.0854 v2 · 2014-01-05 · 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{GIW6H66WI75UPRZ5N2IVOGIY47}

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	2026-05-18T01:22:24.529876Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

322de3fbd647fb47c73d6e91571918e7e7dd648edaaa0dbce19d3f8163911f12

Aliases

arxiv: 1401.0854 · arxiv_version: 1401.0854v2 · doi: 10.48550/arxiv.1401.0854 · pith_short_12: GIW6H66WI75U · pith_short_16: GIW6H66WI75UPRZ5 · pith_short_8: GIW6H66W

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/GIW6H66WI75UPRZ5N2IVOGIY47 \
  | 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: 322de3fbd647fb47c73d6e91571918e7e7dd648edaaa0dbce19d3f8163911f12

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8e30eff0999ff94693ad0c32461b7f5f09c9c51ed9db471886acec56b95f293d",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2014-01-05T00:21:36Z",
    "title_canon_sha256": "759253de15e3fa1220aae95dab31102bc8bc1b4dea77cee2bb93da12da88b9a6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1401.0854",
    "kind": "arxiv",
    "version": 2
  }
}