Pith Number

pith:CPS2XCLE

pith:2025:CPS2XCLETYDDFBISWONK5DGL47

not attested not anchored not stored refs pending

A Conditional Reduction of the Rational Hodge Conjecture for Threefolds and Deformation-Theoretic Verifications in Several Families

Karim Mansour

arxiv:2508.08321 v1 · 2025-08-09 · 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{CPS2XCLETYDDFBISWONK5DGL47}

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	2026-07-05T11:52:26.031296Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

13e5ab89649e06328512b39aae8ccbe7c10c48dee7365f33236d4e8e510f09a5

Aliases

arxiv: 2508.08321 · arxiv_version: 2508.08321v1 · doi: 10.48550/arxiv.2508.08321 · pith_short_12: CPS2XCLETYDD · pith_short_16: CPS2XCLETYDDFBIS · pith_short_8: CPS2XCLE

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/CPS2XCLETYDDFBISWONK5DGL47 \
  | 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: 13e5ab89649e06328512b39aae8ccbe7c10c48dee7365f33236d4e8e510f09a5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d36981d5f4810388e41bb13f127f3f06cc9e56bfda2d7b074ad2100722a9ccb8",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2025-08-09T13:33:39Z",
    "title_canon_sha256": "4b7076a31af4ae6c053f6faee55f6334b3b4ddb1b0de6dcafc08b6677e3cdb33"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2508.08321",
    "kind": "arxiv",
    "version": 1
  }
}