Pith Number

pith:GFHF7VX6

pith:2014:GFHF7VX6CH66ROQMUNL4SGGUMQ

not attested not anchored not stored refs pending

Generalized $q$-Stirling numbers and normal ordering

Ken Joffaniel M. Gonzales, Richell O. Celeste, Roberto B. Corcino

arxiv:1407.3343 v7 · 2014-07-12 · 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{GFHF7VX6CH66ROQMUNL4SGGUMQ}

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	2026-05-18T02:44:48.903687Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

314e5fd6fe11fde8ba0ca357c918d464089e1ef57362a01ad43214d97a28f037

Aliases

arxiv: 1407.3343 · arxiv_version: 1407.3343v7 · doi: 10.48550/arxiv.1407.3343 · pith_short_12: GFHF7VX6CH66 · pith_short_16: GFHF7VX6CH66ROQM · pith_short_8: GFHF7VX6

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/GFHF7VX6CH66ROQMUNL4SGGUMQ \
  | 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: 314e5fd6fe11fde8ba0ca357c918d464089e1ef57362a01ad43214d97a28f037

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9a96ab85d2cd5f52ed971ac447e46320ad0fd25b21b196c89ec7afffdd588123",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/3.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2014-07-12T05:01:47Z",
    "title_canon_sha256": "7f115ff2acda37d526270511c4a2c58405b2aaf8749ecc934f289484fac37a08"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1407.3343",
    "kind": "arxiv",
    "version": 7
  }
}