Pith Number

pith:2OJIDIWG

pith:2009:2OJIDIWGJSSZ3SNX6CVYR6FGPM

not attested not anchored not stored refs pending

Power sum identities with generalized Stirling numbers

Khristo N. Boyadzhiev

arxiv:0909.1852 v1 · 2009-09-10 · math.CO · math.CA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{2OJIDIWGJSSZ3SNX6CVYR6FGPM}

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	2026-05-18T01:02:59.722056Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d39281a2c64ca59dc9b7f0ab88f8a67b19bf399e5f29b13b79478cc72e8aa464

Aliases

arxiv: 0909.1852 · arxiv_version: 0909.1852v1 · doi: 10.48550/arxiv.0909.1852 · pith_short_12: 2OJIDIWGJSSZ · pith_short_16: 2OJIDIWGJSSZ3SNX · pith_short_8: 2OJIDIWG

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/2OJIDIWGJSSZ3SNX6CVYR6FGPM \
  | 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: d39281a2c64ca59dc9b7f0ab88f8a67b19bf399e5f29b13b79478cc72e8aa464

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "96f4eac7d3ab9fe43fc4d78510c89bff43a71436d1d94fcfad81e9c22c921a4b",
    "cross_cats_sorted": [
      "math.CA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2009-09-10T00:33:51Z",
    "title_canon_sha256": "fc29d944ce033815fed3d28a7aea5d56f0fa00e947fee933c66d50bba505303b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0909.1852",
    "kind": "arxiv",
    "version": 1
  }
}