Pith Number

pith:KGJKAUGU

pith:2017:KGJKAUGU26D4FARYKF4EL6KO66

not attested not anchored not stored refs pending

Bernoulli-Carlitz and Cauchy-Carlitz numbers with Stirling-Carlitz numbers

Hajime Kaneko, Takao Komatsu

arxiv:1704.07135 v2 · 2017-04-24 · 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{KGJKAUGU26D4FARYKF4EL6KO66}

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	2026-05-17T23:56:58.872613Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5192a050d4d787c28238517845f94ef7b3d746e89a7d29d02de1dd44c94aa190

Aliases

arxiv: 1704.07135 · arxiv_version: 1704.07135v2 · doi: 10.48550/arxiv.1704.07135 · pith_short_12: KGJKAUGU26D4 · pith_short_16: KGJKAUGU26D4FARY · pith_short_8: KGJKAUGU

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/KGJKAUGU26D4FARYKF4EL6KO66 \
  | 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: 5192a050d4d787c28238517845f94ef7b3d746e89a7d29d02de1dd44c94aa190

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "dde049d9af5aa9536decdf247fcdd9e0a5c3404b45beed9ea2aa11b00c701656",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2017-04-24T10:46:58Z",
    "title_canon_sha256": "9e065f553a3e1a3f5fed18215b927c3fca36afa5a9228412d65a388829a959ea"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1704.07135",
    "kind": "arxiv",
    "version": 2
  }
}