Pith Number

pith:WE3KDPXZ

pith:2025:WE3KDPXZVMTSKJI5UOLAKGIN2M

not attested not anchored not stored refs pending

The Rigidity of Constraint: A Spencer-Hodge Theoretic Approach to the Hodge Conjecture

Dongzhe Zheng

arxiv:2506.12720 v1 · 2025-06-15 · math.GM

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{WE3KDPXZVMTSKJI5UOLAKGIN2M}

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	2026-07-05T11:52:02.763157Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b136a1bef9ab2725251da39605190dd3201ad97bcb7943b44c676337c9b8dc8f

Aliases

arxiv: 2506.12720 · arxiv_version: 2506.12720v1 · doi: 10.48550/arxiv.2506.12720 · pith_short_12: WE3KDPXZVMTS · pith_short_16: WE3KDPXZVMTSKJI5 · pith_short_8: WE3KDPXZ

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/WE3KDPXZVMTSKJI5UOLAKGIN2M \
  | 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: b136a1bef9ab2725251da39605190dd3201ad97bcb7943b44c676337c9b8dc8f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "71b9e216311ef920e6766ff76aac6af88bf260be9392893ae55605c00e00899a",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.GM",
    "submitted_at": "2025-06-15T04:55:03Z",
    "title_canon_sha256": "381cedba9da3ae6e770b7ebf14e395cc101df7d3cd3f5c4e9d5008cdcf516cd7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2506.12720",
    "kind": "arxiv",
    "version": 1
  }
}