Pith Number

pith:NQCN3W4O

pith:1998:NQCN3W4O2VX5OBIJMTH4YQEDHN

not attested not anchored not stored refs pending

Lagrangian two-spheres can be symplectically knotted

Paul Seidel

arxiv:math/9803083 v2 · 1998-03-19 · 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{NQCN3W4O2VX5OBIJMTH4YQEDHN}

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	2026-05-18T01:05:34.242507Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6c04dddb8ed56fd7050964cfcc40833b5cf748204eae64c301bf618682434e07

Aliases

arxiv: math/9803083 · arxiv_version: math/9803083v2 · doi: 10.48550/arxiv.math/9803083 · pith_short_12: NQCN3W4O2VX5 · pith_short_16: NQCN3W4O2VX5OBIJ · pith_short_8: NQCN3W4O

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/NQCN3W4O2VX5OBIJMTH4YQEDHN \
  | 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: 6c04dddb8ed56fd7050964cfcc40833b5cf748204eae64c301bf618682434e07

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1280fe966611837145c1b9ae26cc4186b05d57d5412abedefbb3cb9577aa5f36",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.DG",
    "submitted_at": "1998-03-19T05:36:17Z",
    "title_canon_sha256": "73bb57aba75a4dcb6d4341c6160550cd04e1f263b79926977c86c70fc20c29aa"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/9803083",
    "kind": "arxiv",
    "version": 2
  }
}