Pith Number

pith:OT5VTBKC

pith:2025:OT5VTBKCNUXDKH3VHMRNE4PZDX

not attested not anchored not stored refs pending

Constructive Proof of the Hodge Conjecture for K3 Surfaces via Nodal Degenerations

Badre Mounda

arxiv:2507.18999 v1 · 2025-07-25 · math.AG · math.CV

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{OT5VTBKCNUXDKH3VHMRNE4PZDX}

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	2026-07-05T11:43:17.612326Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

74fb5985426d2e351f753b22d271f91df6eac17015c78a4d4aef6b2f869fe342

Aliases

arxiv: 2507.18999 · arxiv_version: 2507.18999v1 · doi: 10.48550/arxiv.2507.18999 · pith_short_12: OT5VTBKCNUXD · pith_short_16: OT5VTBKCNUXDKH3V · pith_short_8: OT5VTBKC

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/OT5VTBKCNUXDKH3VHMRNE4PZDX \
  | 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: 74fb5985426d2e351f753b22d271f91df6eac17015c78a4d4aef6b2f869fe342

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "af3e8ea172633ff5ea94c98de3f6e9c07a82873acd89e3ed99893c315f51907a",
    "cross_cats_sorted": [
      "math.CV"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2025-07-25T06:56:38Z",
    "title_canon_sha256": "ef09bfdc22b1643ef6afea654607e2d46e5174f7f7a473c2ce07eff60f2078f8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2507.18999",
    "kind": "arxiv",
    "version": 1
  }
}