Pith Number

pith:2LD5VRMB

pith:2022:2LD5VRMBM2SVLXZWMFRIMH5V7I

not attested not anchored not stored refs pending

Higher Lorentzian Polynomials, Higher Hessians, and the Hodge-Riemann Property for Graded Oriented Artinian Gorenstein Algebras in Codimension Two

Alexandra Seceleanu, Chris McDaniel, Junzo Watanabe, Pedro Macias Marques

arxiv:2208.05653 v4 · 2022-08-11 · math.AC

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{2LD5VRMBM2SVLXZWMFRIMH5V7I}

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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.

Cited by

1 paper in Pith

Log-concavity of polynomials arising from equivariant cohomology

Receipt and verification

First computed	2026-07-05T06:19:52.774554Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d2c7dac58166a555df366162861fb5fa1dbd66287b5711d3656b2a8226412df5

Aliases

arxiv: 2208.05653 · arxiv_version: 2208.05653v4 · doi: 10.48550/arxiv.2208.05653 · pith_short_12: 2LD5VRMBM2SV · pith_short_16: 2LD5VRMBM2SVLXZW · pith_short_8: 2LD5VRMB

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/2LD5VRMBM2SVLXZWMFRIMH5V7I \
  | 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: d2c7dac58166a555df366162861fb5fa1dbd66287b5711d3656b2a8226412df5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "471cb8469f3319c9096d85cd57c1e91df673b715640f792f24b6ac5584a2c77e",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by-nc-nd/4.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2022-08-11T06:12:56Z",
    "title_canon_sha256": "6530314e984de83e785762d2be46db5743823aea1d66f768f8d8ffd8d27d3bea"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2208.05653",
    "kind": "arxiv",
    "version": 4
  }
}