Pith Number

pith:ROWXRUHP

pith:2025:ROWXRUHPZUWHXLLTADGZIQRWBX

not attested not anchored not stored refs pending

Constructing Two Metrics for Spencer Cohomology: Hodge Decomposition of Constrained Bundles

Dongzhe Zheng

arxiv:2506.00752 v2 · 2025-05-31 · 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{ROWXRUHPZUWHXLLTADGZIQRWBX}

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

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

Receipt and verification

First computed	2026-07-05T11:52:02.478300Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8bad78d0efcd2c7bad7300cd9442360de26eb1a07d9e07953f10b6312e2cdcd2

Aliases

arxiv: 2506.00752 · arxiv_version: 2506.00752v2 · doi: 10.48550/arxiv.2506.00752 · pith_short_12: ROWXRUHPZUWH · pith_short_16: ROWXRUHPZUWHXLLT · pith_short_8: ROWXRUHP

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/ROWXRUHPZUWHXLLTADGZIQRWBX \
  | 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: 8bad78d0efcd2c7bad7300cd9442360de26eb1a07d9e07953f10b6312e2cdcd2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "940b82a1e51c15516f6d1c32f86a0bd68c6d7a19fe753cfdb531911de332f10c",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.GM",
    "submitted_at": "2025-05-31T23:39:45Z",
    "title_canon_sha256": "46c7ea03684e5cafd76ec34bbbdaed1e575439e5f9eb559bd90b37f02f6df85b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2506.00752",
    "kind": "arxiv",
    "version": 2
  }
}