Pith Number

pith:247XVF2X

pith:2012:247XVF2XMAU3LOH7IGRPZIGHST

not attested not anchored not stored refs pending

J-holomorphic discs and real analytic hypersurfaces

Emmanuel Mazzilli, William Alexandre

arxiv:1211.3620 v2 · 2012-11-15 · math.CV

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{247XVF2XMAU3LOH7IGRPZIGHST}

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	2026-05-18T03:40:38.159928Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d73f7a97576029b5b8ff41a2fca0c794ee0ea36179e13af06cce837466a4b8a5

Aliases

arxiv: 1211.3620 · arxiv_version: 1211.3620v2 · doi: 10.48550/arxiv.1211.3620 · pith_short_12: 247XVF2XMAU3 · pith_short_16: 247XVF2XMAU3LOH7 · pith_short_8: 247XVF2X

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/247XVF2XMAU3LOH7IGRPZIGHST \
  | 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: d73f7a97576029b5b8ff41a2fca0c794ee0ea36179e13af06cce837466a4b8a5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e998ab80dd467dbc1247eae51f39cf4db83a8b7db3556bc940360abfe62ea21c",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CV",
    "submitted_at": "2012-11-15T14:43:30Z",
    "title_canon_sha256": "e8850e63b264b9e2d580835d001cefacc33e552a913d60378e0a0aeb9ebe1234"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1211.3620",
    "kind": "arxiv",
    "version": 2
  }
}