Pith Number

pith:7EPN6NQI

pith:2018:7EPN6NQIZFP5A2ZMBKPS46TMUE

not attested not anchored not stored refs pending

Some determinants involving incomplete Fubini numbers

Jos\'e L. Ram\'irez, Takao Komatsu

arxiv:1802.06188 v1 · 2018-02-17 · 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{7EPN6NQIZFP5A2ZMBKPS46TMUE}

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	2026-05-18T00:23:04.162286Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f91edf3608c95fd06b2c0a9f2e7a6ca10926869218fcbd1f4ba39402d74b94eb

Aliases

arxiv: 1802.06188 · arxiv_version: 1802.06188v1 · doi: 10.48550/arxiv.1802.06188 · pith_short_12: 7EPN6NQIZFP5 · pith_short_16: 7EPN6NQIZFP5A2ZM · pith_short_8: 7EPN6NQI

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/7EPN6NQIZFP5A2ZMBKPS46TMUE \
  | 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: f91edf3608c95fd06b2c0a9f2e7a6ca10926869218fcbd1f4ba39402d74b94eb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "956ff2f4fed1cf83b0c4b9008c508430ff124c3059d3f981507949ef81b20924",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2018-02-17T04:11:39Z",
    "title_canon_sha256": "e83e8c6f1bfb27f146e4709484233fc868585ef6884225de1ca27d8ffb70fca6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1802.06188",
    "kind": "arxiv",
    "version": 1
  }
}