Pith Number

pith:XC2KUICH

pith:2010:XC2KUICHJHDCS7IOGNXWYZYM3Y

not attested not anchored not stored refs pending

Levi-flat filling of real two-spheres in symplectic manifolds (I)

Alexandre Sukhov (LPP), Herv\'e Gaussier (IF)

arxiv:1010.0593 v2 · 2010-10-04 · math.CV · 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{XC2KUICHJHDCS7IOGNXWYZYM3Y}

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	2026-05-18T04:20:22.200090Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b8b4aa204749c6297d0e336f6c670cde00b9bfe3bbfdd38410109628d1064ec9

Aliases

arxiv: 1010.0593 · arxiv_version: 1010.0593v2 · doi: 10.48550/arxiv.1010.0593 · pith_short_12: XC2KUICHJHDC · pith_short_16: XC2KUICHJHDCS7IO · pith_short_8: XC2KUICH

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/XC2KUICHJHDCS7IOGNXWYZYM3Y \
  | 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: b8b4aa204749c6297d0e336f6c670cde00b9bfe3bbfdd38410109628d1064ec9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3d2ac86d6868f41a7171c45957dd0f7664f7387ce83bde066adf305e69e64209",
    "cross_cats_sorted": [
      "math.SG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CV",
    "submitted_at": "2010-10-04T14:01:15Z",
    "title_canon_sha256": "5ab5925f61a8031950269ac89e6ea5c5fa7f971c7037c788cc286e1c7309dfd2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1010.0593",
    "kind": "arxiv",
    "version": 2
  }
}