Pith Number

pith:GKNN5UL4

pith:2025:GKNN5UL4UHXN24NMUT26EFILTJ

not attested not anchored not stored refs pending

Mirror Symmetry of Spencer-Hodge Decompositions in Constrained Geometric Systems

Dongzhe Zheng

arxiv:2506.05816 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{GKNN5UL4UHXN24NMUT26EFILTJ}

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	2026-07-05T11:52:02.586875Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

329aded17ca1eedd71aca4f5e2150b9a640e1e243628a7ff1665ed369c63b435

Aliases

arxiv: 2506.05816 · arxiv_version: 2506.05816v2 · doi: 10.48550/arxiv.2506.05816 · pith_short_12: GKNN5UL4UHXN · pith_short_16: GKNN5UL4UHXN24NM · pith_short_8: GKNN5UL4

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/GKNN5UL4UHXN24NMUT26EFILTJ \
  | 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: 329aded17ca1eedd71aca4f5e2150b9a640e1e243628a7ff1665ed369c63b435

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "10a1e4724f3175ade37612de2982767e51c9cddbd2bbbe86548851832bf2f46c",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.GM",
    "submitted_at": "2025-06-06T07:28:03Z",
    "title_canon_sha256": "c607eb87b27081800a62ddd0790f4ba0df02667b3a89bcb5dd4119291137858b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2506.05816",
    "kind": "arxiv",
    "version": 2
  }
}