Pith Number

pith:CAHYHOQB

pith:2019:CAHYHOQBYTTLI2W2Y2HHIK2RWW

not attested not anchored not stored refs pending

A Gap Theorem for Half-Conformally Flat Manifolds

Brian Weber, Martin Citoler-Saumell

arxiv:1907.09025 v1 · 2019-07-21 · 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{CAHYHOQBYTTLI2W2Y2HHIK2RWW}

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	2026-05-17T23:40:02.376664Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

100f83ba01c4e6b46adac68e742b51b5bf51a86d191ec6745d16e741d91f92c4

Aliases

arxiv: 1907.09025 · arxiv_version: 1907.09025v1 · doi: 10.48550/arxiv.1907.09025 · pith_short_12: CAHYHOQBYTTL · pith_short_16: CAHYHOQBYTTLI2W2 · pith_short_8: CAHYHOQB

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/CAHYHOQBYTTLI2W2Y2HHIK2RWW \
  | 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: 100f83ba01c4e6b46adac68e742b51b5bf51a86d191ec6745d16e741d91f92c4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "98ee86a3aad7aea874da1368d3ff358ce510b297c186efe1f8a6e9014b6c14b0",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2019-07-21T20:15:27Z",
    "title_canon_sha256": "834f2f94ec60044ce3c3853567e2459a5b58237d9bff8dc0fb490cc6a82aefa4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1907.09025",
    "kind": "arxiv",
    "version": 1
  }
}