Pith Number

pith:ZUGFRNWH

pith:2025:ZUGFRNWHEV6G5KVDE2WAALOCGE

not attested not anchored not stored refs pending

Gap Theorem on locally conformally flat manifold

Man-Chun Lee, Ming Hsiao

arxiv:2504.08189 v1 · 2025-04-11 · math.DG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ZUGFRNWHEV6G5KVDE2WAALOCGE}

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	2026-07-05T10:47:44.707019Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cd0c58b6c7257c6eaaa326ac002dc2311bb51bdd4b0ee357b8259de67f872a19

Aliases

arxiv: 2504.08189 · arxiv_version: 2504.08189v1 · doi: 10.48550/arxiv.2504.08189 · pith_short_12: ZUGFRNWHEV6G · pith_short_16: ZUGFRNWHEV6G5KVD · pith_short_8: ZUGFRNWH

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/ZUGFRNWHEV6G5KVDE2WAALOCGE \
  | 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: cd0c58b6c7257c6eaaa326ac002dc2311bb51bdd4b0ee357b8259de67f872a19

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f4d4f7f81094abebc2b44ea852183ea67656d7c9453ca8b68b7edce80dddc6fe",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2025-04-11T01:10:54Z",
    "title_canon_sha256": "cbfd8a05551253568f3f79caa3ceb76ebbdde084f15b070426e1f0cd36650f06"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2504.08189",
    "kind": "arxiv",
    "version": 1
  }
}