Pith Number

pith:NVO5KSOG

pith:2011:NVO5KSOGYTDGVQWIKNH52FUKA5

not attested not anchored not stored refs pending

The median Genocchi numbers, Q-analogues and continued fractions

Evgeny Feigin

arxiv:1111.0740 v2 · 2011-11-03 · math.CO · 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{NVO5KSOGYTDGVQWIKNH52FUKA5}

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	2026-05-18T03:53:54.631238Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6d5dd549c6c4c66ac2c8534fdd168a0743e22bfffb03641f67f9125e7c987769

Aliases

arxiv: 1111.0740 · arxiv_version: 1111.0740v2 · doi: 10.48550/arxiv.1111.0740 · pith_short_12: NVO5KSOGYTDG · pith_short_16: NVO5KSOGYTDGVQWI · pith_short_8: NVO5KSOG

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/NVO5KSOGYTDGVQWIKNH52FUKA5 \
  | 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: 6d5dd549c6c4c66ac2c8534fdd168a0743e22bfffb03641f67f9125e7c987769

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7cc0a3ca7c6b877c3990867883b6ec41ff67bf21a8d8eeb456e301f3f411b25b",
    "cross_cats_sorted": [
      "math.NT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2011-11-03T07:07:32Z",
    "title_canon_sha256": "754b5b45ff9767c6229626393e7f1f9b12b2a7d471dda0982bcf0e3108f89bf9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1111.0740",
    "kind": "arxiv",
    "version": 2
  }
}