Pith Number

pith:I3SZ6PGS

pith:2025:I3SZ6PGSBJXDVZWVBHSZDGJDXU

not attested not anchored not stored refs pending

Preservation of log-concavity on gamma polynomials

Greta Panova, Lorenzo Venturello, Luis Ferroni

arxiv:2502.08948 v2 · 2025-02-13 · 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{I3SZ6PGSBJXDVZWVBHSZDGJDXU}

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	2026-07-05T11:21:15.173208Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

46e59f3cd20a6e3ae6d509e5919923bd29716e91f9153504ef69c7846e90a76f

Aliases

arxiv: 2502.08948 · arxiv_version: 2502.08948v2 · doi: 10.48550/arxiv.2502.08948 · pith_short_12: I3SZ6PGSBJXD · pith_short_16: I3SZ6PGSBJXDVZWV · pith_short_8: I3SZ6PGS

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/I3SZ6PGSBJXDVZWVBHSZDGJDXU \
  | 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: 46e59f3cd20a6e3ae6d509e5919923bd29716e91f9153504ef69c7846e90a76f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "152103c1dd80eb1da6e581325a665c22f12527762b0ca631862a73257c8b37dc",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2025-02-13T04:02:20Z",
    "title_canon_sha256": "ee91d9bfc1189c96f7d8f41f8e10e8069b6709f71ad0d72fd92ea91d495ec80d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2502.08948",
    "kind": "arxiv",
    "version": 2
  }
}