Pith Number

pith:FSNL4FAY

pith:2013:FSNL4FAYEO5WWVGRSYXHWTBXYR

not attested not anchored not stored refs pending

Strict unimodality of q-binomial coefficients

Greta Panova, Igor Pak

arxiv:1306.5085 v2 · 2013-06-21 · 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{FSNL4FAYEO5WWVGRSYXHWTBXYR}

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	2026-05-18T03:07:34.123719Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2c9abe141823bb6b54d1962e7b4c37c456177f90d5eda5ed78265dfe044e7577

Aliases

arxiv: 1306.5085 · arxiv_version: 1306.5085v2 · doi: 10.48550/arxiv.1306.5085 · pith_short_12: FSNL4FAYEO5W · pith_short_16: FSNL4FAYEO5WWVGR · pith_short_8: FSNL4FAY

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/FSNL4FAYEO5WWVGRSYXHWTBXYR \
  | 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: 2c9abe141823bb6b54d1962e7b4c37c456177f90d5eda5ed78265dfe044e7577

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bed5b370e96264645483b50760e8f0b236049d19237379a90707780e938f0c5f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2013-06-21T09:50:48Z",
    "title_canon_sha256": "43b46603ac1c18c9cf5fb3690e90afc56a179e22116ad448206fab21d35d2b3b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1306.5085",
    "kind": "arxiv",
    "version": 2
  }
}