Pith Number

pith:N5GGYBUG

pith:2025:N5GGYBUGLGTBXKXYOSZGVNFXDP

not attested not anchored not stored refs pending

Mixed Segre zeta functions and their log-concavity

Yairon Cid-Ruiz

arxiv:2507.06424 v1 · 2025-07-08 · math.AG · math.AC · 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{N5GGYBUGLGTBXKXYOSZGVNFXDP}

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	2026-07-05T11:34:15.477015Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6f4c6c068659a61baaf874b26ab4b71bc20ac278559138279f1aa917c82d2297

Aliases

arxiv: 2507.06424 · arxiv_version: 2507.06424v1 · doi: 10.48550/arxiv.2507.06424 · pith_short_12: N5GGYBUGLGTB · pith_short_16: N5GGYBUGLGTBXKXY · pith_short_8: N5GGYBUG

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/N5GGYBUGLGTBXKXYOSZGVNFXDP \
  | 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: 6f4c6c068659a61baaf874b26ab4b71bc20ac278559138279f1aa917c82d2297

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0d263cbb67b581b0b8823fe772d20cd7db4bf7c434b80b15679353c11dc54c11",
    "cross_cats_sorted": [
      "math.AC",
      "math.CO"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2025-07-08T22:00:18Z",
    "title_canon_sha256": "0758586ee60c9db201ce783e0d99568bd1809d1e6e5edb517683ac8e700e2382"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2507.06424",
    "kind": "arxiv",
    "version": 1
  }
}