Pith Number

pith:MHJGZIJA

pith:2013:MHJGZIJACFYD2XAZEJ6SZ3Y5RI

not attested not anchored not stored refs pending

Cardinality of $\ell_1$-Segments and Genocchi Numbers

Catalin Zara

arxiv:1304.5798 v1 · 2013-04-21 · 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{MHJGZIJACFYD2XAZEJ6SZ3Y5RI}

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	2026-05-18T03:27:24.116772Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

61d26ca12011703d5c19227d2cef1d8a0150c5253e5cb2f0e60d4a6f56073afb

Aliases

arxiv: 1304.5798 · arxiv_version: 1304.5798v1 · doi: 10.48550/arxiv.1304.5798 · pith_short_12: MHJGZIJACFYD · pith_short_16: MHJGZIJACFYD2XAZ · pith_short_8: MHJGZIJA

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/MHJGZIJACFYD2XAZEJ6SZ3Y5RI \
  | 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: 61d26ca12011703d5c19227d2cef1d8a0150c5253e5cb2f0e60d4a6f56073afb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c457182700972912bbd8b9b08fdaef020557a5d78c248ef096f4b4cbdc09a791",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2013-04-21T20:43:27Z",
    "title_canon_sha256": "cc71b7717012dc638aa68f1cdd0c31a20488a7765af04b6c38371aecb2b49c3f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1304.5798",
    "kind": "arxiv",
    "version": 1
  }
}