Pith Number

pith:OGTPZM7C

pith:2011:OGTPZM7CM3WYPCLMDERBO2LKT7

not attested not anchored not stored refs pending

Congruences arising from Ap\'ery-type series for zeta values

Khodabakhsh Hessami Pilehrood, Tatiana Hessami Pilehrood

arxiv:1108.1893 v3 · 2011-08-09 · 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{OGTPZM7CM3WYPCLMDERBO2LKT7}

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	2026-05-18T03:03:44.908675Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

71a6fcb3e266ed87896c192217696a9fcbfb7a947449ecdcbe8900e38d6ab19a

Aliases

arxiv: 1108.1893 · arxiv_version: 1108.1893v3 · doi: 10.48550/arxiv.1108.1893 · pith_short_12: OGTPZM7CM3WY · pith_short_16: OGTPZM7CM3WYPCLM · pith_short_8: OGTPZM7C

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/OGTPZM7CM3WYPCLMDERBO2LKT7 \
  | 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: 71a6fcb3e266ed87896c192217696a9fcbfb7a947449ecdcbe8900e38d6ab19a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d2573e53e2c9ae3dbf2776b744841c98bbc639217e7998ca45f23dced45b6888",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2011-08-09T09:54:52Z",
    "title_canon_sha256": "76565b28dfa01cf3e76c8e831dedbb1cdfc7f7fcf10b947b6ed74b9cf2a4de80"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1108.1893",
    "kind": "arxiv",
    "version": 3
  }
}