Pith Number

pith:ATVIPJLM

pith:2025:ATVIPJLM3LICJ7URR4DLAR452F

not attested not anchored not stored refs pending

Combinatorial Cycle Classes in the Intersection Cohomology of Projective Toric Varieties

Daisuke Ishii, Rizwan Jahangir

arxiv:2512.06755 v2 · 2025-12-07 · math.AG · 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{ATVIPJLM3LICJ7URR4DLAR452F}

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.

Cited by

1 paper in Pith

Explainable PQC: A Layered Interpretive Framework for Post-Quantum Cryptographic Security Assumptions

Receipt and verification

First computed	2026-06-30T01:17:30.313385Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

04ea87a56cdad024fe918f06b0479dd15e806db5a964b4610cee0c4d0522cc5a

Aliases

arxiv: 2512.06755 · arxiv_version: 2512.06755v2 · doi: 10.48550/arxiv.2512.06755 · pith_short_12: ATVIPJLM3LIC · pith_short_16: ATVIPJLM3LICJ7UR · pith_short_8: ATVIPJLM

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/ATVIPJLM3LICJ7URR4DLAR452F \
  | 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: 04ea87a56cdad024fe918f06b0479dd15e806db5a964b4610cee0c4d0522cc5a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9b50e61b6a443087e11957bf4a4f2e909a19e4af09e6e1ccaa5c7bd1799d5197",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2025-12-07T09:38:43Z",
    "title_canon_sha256": "1fc1e6c154b847ee23fab399e734a0e507135d875b223174e1c52607dec9d251"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2512.06755",
    "kind": "arxiv",
    "version": 2
  }
}