Pith Number

pith:CUDFXH3R

pith:2025:CUDFXH3RNO6DPZ3XIKCOFMJTQG

not attested not anchored not stored refs pending

Spencer Differential Degeneration Theory and Its Applications in Algebraic Geometry

Dongzhe Zheng

arxiv:2506.07410 v2 · 2025-06-09 · 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{CUDFXH3RNO6DPZ3XIKCOFMJTQG}

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	2026-07-05T11:52:02.616060Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

15065b9f716bbc37e7774284e2b1338199375ec10792276016058449cd31d744

Aliases

arxiv: 2506.07410 · arxiv_version: 2506.07410v2 · doi: 10.48550/arxiv.2506.07410 · pith_short_12: CUDFXH3RNO6D · pith_short_16: CUDFXH3RNO6DPZ3X · pith_short_8: CUDFXH3R

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/CUDFXH3RNO6DPZ3XIKCOFMJTQG \
  | 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: 15065b9f716bbc37e7774284e2b1338199375ec10792276016058449cd31d744

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "af570a357d0b051d61053fda6db8edf03fddbaf49cc3ea2e15bc3c1e8274ff6e",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.GM",
    "submitted_at": "2025-06-09T04:13:57Z",
    "title_canon_sha256": "d6df5b35675f942595d1417c5462258425b1d877529baf7252a6563e13a7748a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2506.07410",
    "kind": "arxiv",
    "version": 2
  }
}