Pith Number

pith:NPUYZ5R7

pith:2010:NPUYZ5R7K5WV2LFAG4PZQJ472J

not attested not anchored not stored refs pending

Lectures on Holomorphic Curves in Symplectic and Contact Geometry

Chris Wendl

arxiv:1011.1690 v2 · 2010-11-07 · math.SG · math.AP · math.DG · math.GT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{NPUYZ5R7K5WV2LFAG4PZQJ472J}

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

On symplectic fillings of spinal open book decompositions II: Holomorphic curves and classification

Receipt and verification

First computed	2026-05-18T02:51:06.824825Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6be98cf63f576d5d2ca0371f98279fd253ffcd8ea91cfab1d6e2a39a44c57987

Aliases

arxiv: 1011.1690 · arxiv_version: 1011.1690v2 · doi: 10.48550/arxiv.1011.1690 · pith_short_12: NPUYZ5R7K5WV · pith_short_16: NPUYZ5R7K5WV2LFA · pith_short_8: NPUYZ5R7

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/NPUYZ5R7K5WV2LFAG4PZQJ472J \
  | 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: 6be98cf63f576d5d2ca0371f98279fd253ffcd8ea91cfab1d6e2a39a44c57987

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e57f716983de7ffe325ed8df29af8b4f0b2b9bf1e69558479c36a038d41e7d7a",
    "cross_cats_sorted": [
      "math.AP",
      "math.DG",
      "math.GT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.SG",
    "submitted_at": "2010-11-07T23:57:41Z",
    "title_canon_sha256": "72191a066d6fa2cefaaa9f3512224ee0ac3bc81a9f1d55bc5000fccf0e44d436"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1011.1690",
    "kind": "arxiv",
    "version": 2
  }
}