Pith Number

pith:URA6DXYY

pith:2025:URA6DXYYFDRW2NOINGEA7LE3VC

not attested not anchored not stored refs pending

A Deformation Theoretic Reduction of the Hodge Conjecture via Derived Categories and Complete Intersections

Karim Mansour

arxiv:2507.09934 v2 · 2025-07-14 · math.AG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{URA6DXYYFDRW2NOINGEA7LE3VC}

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	2026-07-05T11:53:48.715234Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a441e1df1828e36d35c869880fac9ba88b5497205b8b7cd87fe18305522bcfec

Aliases

arxiv: 2507.09934 · arxiv_version: 2507.09934v2 · doi: 10.48550/arxiv.2507.09934 · pith_short_12: URA6DXYYFDRW · pith_short_16: URA6DXYYFDRW2NOI · pith_short_8: URA6DXYY

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/URA6DXYYFDRW2NOINGEA7LE3VC \
  | 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: a441e1df1828e36d35c869880fac9ba88b5497205b8b7cd87fe18305522bcfec

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f4974017d791eae68b96317caf46337bf1e8cded32d33641b55089cb2b0ca545",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2025-07-14T05:21:36Z",
    "title_canon_sha256": "76070498e64856cb2107ba201af31544332c8234d310bcfea24200e8a7998596"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2507.09934",
    "kind": "arxiv",
    "version": 2
  }
}