Pith Number

pith:OBD2VM6J

pith:2006:OBD2VM6JXKVKUGPBHUOX6AZKWS

not attested not anchored not stored refs pending

Fleck quotients and Bernoulli numbers

Zhi-Wei Sun

arxiv:math/0608328 v1 · 2006-08-14 · 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{OBD2VM6JXKVKUGPBHUOX6AZKWS}

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	2026-07-04T14:56:06.740121Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7047aab3c9baaaaa19e13d1d7f032ab485b9fc204bbb43f315b0b297e0a2edfc

Aliases

arxiv: math/0608328 · arxiv_version: math/0608328v1 · doi: 10.48550/arxiv.math/0608328 · pith_short_12: OBD2VM6JXKVK · pith_short_16: OBD2VM6JXKVKUGPB · pith_short_8: OBD2VM6J

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/OBD2VM6JXKVKUGPBHUOX6AZKWS \
  | 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: 7047aab3c9baaaaa19e13d1d7f032ab485b9fc204bbb43f315b0b297e0a2edfc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c15d4b962962773d51c6dd9c7c4f1b505a256f9597c7855b01ddb1ca4b8c8e74",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "",
    "primary_cat": "math.NT",
    "submitted_at": "2006-08-14T04:07:22Z",
    "title_canon_sha256": "6ae5721a4734d7da0212be42013fc2135037f519a48c3e36cfb6ec521c46c3ad"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0608328",
    "kind": "arxiv",
    "version": 1
  }
}