Pith Number

pith:CDB3XMCR

pith:2009:CDB3XMCR4RDEFN4FXGBZ34UYE2

not attested not anchored not stored refs pending

Holomorphic curves in exploded manifolds: regularity

Brett Parker

arxiv:0902.0087 v8 · 2009-01-31 · math.SG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{CDB3XMCR4RDEFN4FXGBZ34UYE2}

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	2026-05-17T23:42:31.491968Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

10c3bbb051e44642b785b9839df29826ad85d407744b1b46ee149eec8d95c195

Aliases

arxiv: 0902.0087 · arxiv_version: 0902.0087v8 · doi: 10.48550/arxiv.0902.0087 · pith_short_12: CDB3XMCR4RDE · pith_short_16: CDB3XMCR4RDEFN4F · pith_short_8: CDB3XMCR

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/CDB3XMCR4RDEFN4FXGBZ34UYE2 \
  | 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: 10c3bbb051e44642b785b9839df29826ad85d407744b1b46ee149eec8d95c195

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8ead62f48733cc604b252517ab9f07edb392a88106e9d0a834d850e89f71b2bc",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.SG",
    "submitted_at": "2009-01-31T20:20:34Z",
    "title_canon_sha256": "9fcc1de584e1a4f1982683c7a5aeaf9d820363269518121570791881116d2fa8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0902.0087",
    "kind": "arxiv",
    "version": 8
  }
}