Pith Number

pith:YRYZAMLM

pith:2011:YRYZAMLMJE4PPQ5YTADIZZVZCF

not attested not anchored not stored refs pending

Congruences concerning Jacobi polynomials and Ap\'ery-like formulae

Khodabakhsh Hessami Pilehrood, Roberto Tauraso, Tatiana Hessami Pilehrood

arxiv:1110.5308 v5 · 2011-10-24 · 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{YRYZAMLMJE4PPQ5YTADIZZVZCF}

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	2026-05-18T03:43:52.765583Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c47190316c4938f7c3b898068ce6b91176037df8f3174cc1bf29a98fd09d20e5

Aliases

arxiv: 1110.5308 · arxiv_version: 1110.5308v5 · doi: 10.48550/arxiv.1110.5308 · pith_short_12: YRYZAMLMJE4P · pith_short_16: YRYZAMLMJE4PPQ5Y · pith_short_8: YRYZAMLM

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/YRYZAMLMJE4PPQ5YTADIZZVZCF \
  | 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: c47190316c4938f7c3b898068ce6b91176037df8f3174cc1bf29a98fd09d20e5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c2c03ba7a7b59749b6216c878653e65b705c23a27daf0a22817aebfb53a6c8d9",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2011-10-24T19:06:49Z",
    "title_canon_sha256": "13dbc8ee61dc36306de767eb821c7704e5aba79c044e9f847b7769f44eeaa421"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1110.5308",
    "kind": "arxiv",
    "version": 5
  }
}