Pith Number

pith:ORJK7VU4

pith:2004:ORJK7VU475NGAPD4MUMUVCEDFX

not attested not anchored not stored refs pending

The Redheffer matrix of a partially ordered set

Herbert S. Wilf

arxiv:math/0408263 v1 · 2004-08-19 · 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{ORJK7VU475NGAPD4MUMUVCEDFX}

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	2026-07-04T14:39:00.514542Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7452afd69cff5a603c7c65194a88832deebdeff9d4b349a076e03ce7109d7484

Aliases

arxiv: math/0408263 · arxiv_version: math/0408263v1 · doi: 10.48550/arxiv.math/0408263 · pith_short_12: ORJK7VU475NG · pith_short_16: ORJK7VU475NGAPD4 · pith_short_8: ORJK7VU4

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/ORJK7VU475NGAPD4MUMUVCEDFX \
  | 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: 7452afd69cff5a603c7c65194a88832deebdeff9d4b349a076e03ce7109d7484

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e00debd365661ef48ff4aee5daf3c573fff891c1dfbaf9ed1b3fc6b779474d32",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.CO",
    "submitted_at": "2004-08-19T14:55:16Z",
    "title_canon_sha256": "1e91814959a6a3fc5bb8862bd7eeef7ac9f57f148f30a5cfb81e4f4426bfe40b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0408263",
    "kind": "arxiv",
    "version": 1
  }
}