Pith Number

pith:HBSA4BJF

pith:2007:HBSA4BJFX4FCSRJVYTIA7LPBNC

not attested not anchored not stored refs pending

On q-deformed Stirling numbers

Yilmaz Simsek

arxiv:0711.0481 v1 · 2007-11-03 · math.NT · math.GM

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{HBSA4BJFX4FCSRJVYTIA7LPBNC}

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	2026-05-18T00:15:59.838782Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

38640e0525bf0a294535c4d00fade16889d10e1bbae9ae0b38b5249dc40f91b9

Aliases

arxiv: 0711.0481 · arxiv_version: 0711.0481v1 · doi: 10.48550/arxiv.0711.0481 · pith_short_12: HBSA4BJFX4FC · pith_short_16: HBSA4BJFX4FCSRJV · pith_short_8: HBSA4BJF

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/HBSA4BJFX4FCSRJVYTIA7LPBNC \
  | 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: 38640e0525bf0a294535c4d00fade16889d10e1bbae9ae0b38b5249dc40f91b9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "572fac64c15fc36c41dcdbb19ebc90157fbb4d984efdcbc2ffd195c03e7b653e",
    "cross_cats_sorted": [
      "math.GM"
    ],
    "license": "",
    "primary_cat": "math.NT",
    "submitted_at": "2007-11-03T22:32:26Z",
    "title_canon_sha256": "c6ca88aec33b6ab11319d4b0e8318f8086925c8514b9b43fd8a0386fe15d579d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0711.0481",
    "kind": "arxiv",
    "version": 1
  }
}