Pith Number

pith:XCPK4YDB

pith:2006:XCPK4YDBYLQ7RC64XXYIR2JLYR

not attested not anchored not stored refs pending

On the log-convexity of combinatorial sequences

Li Liu, Yi Wang

arxiv:math/0602672 v3 · 2006-02-28 · 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{XCPK4YDBYLQ7RC64XXYIR2JLYR}

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	2026-05-18T04:42:12.629865Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b89eae6061c2e1f88bdcbdf088e92bc474aa421632fd6ee1f3780d1b883aeddd

Aliases

arxiv: math/0602672 · arxiv_version: math/0602672v3 · doi: 10.48550/arxiv.math/0602672 · pith_short_12: XCPK4YDBYLQ7 · pith_short_16: XCPK4YDBYLQ7RC64 · pith_short_8: XCPK4YDB

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/XCPK4YDBYLQ7RC64XXYIR2JLYR \
  | 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: b89eae6061c2e1f88bdcbdf088e92bc474aa421632fd6ee1f3780d1b883aeddd

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8047c47af95ee7c09a2835c9587cd8b6b87548e63071f8ad88e279bfaceef2ad",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.CO",
    "submitted_at": "2006-02-28T15:33:15Z",
    "title_canon_sha256": "ed24666b14d15ffc8e077ab47fbc7678e8ab2653f4f0175e8bf034390d966b7e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0602672",
    "kind": "arxiv",
    "version": 3
  }
}