Pith Number

pith:2WWGMLBU

pith:2025:2WWGMLBU5WKXK7JEBQQBEWXCUM

not attested not anchored not stored refs pending

Spencer-Riemann-Roch Theory: Mirror Symmetry of Hodge Decompositions and Characteristic Classes in Constrained Geometry

Dongzhe Zheng

arxiv:2506.05915 v2 · 2025-06-06 · 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{2WWGMLBU5WKXK7JEBQQBEWXCUM}

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	2026-07-05T11:52:02.601500Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d5ac662c34ed95757d240c20125ae2a3190d1f787c902920d4733c70d6604c14

Aliases

arxiv: 2506.05915 · arxiv_version: 2506.05915v2 · doi: 10.48550/arxiv.2506.05915 · pith_short_12: 2WWGMLBU5WKX · pith_short_16: 2WWGMLBU5WKXK7JE · pith_short_8: 2WWGMLBU

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/2WWGMLBU5WKXK7JEBQQBEWXCUM \
  | 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: d5ac662c34ed95757d240c20125ae2a3190d1f787c902920d4733c70d6604c14

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0e2e5b0ffa95699333d16c71767fbd59b0719c35a5abc7f198c132b70e4def0b",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.GM",
    "submitted_at": "2025-06-06T09:36:54Z",
    "title_canon_sha256": "834344ca00db19c98052541c5684027ed33a02bbb4072c318a5cab2687cb7b72"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2506.05915",
    "kind": "arxiv",
    "version": 2
  }
}