Pith Number

pith:SB63XX3I

pith:2001:SB63XX3IZMZU5VH7VT2DCW7NW5

not attested not anchored not stored refs pending

Lagrangian submanifolds in Hyperkahler manifolds, Legendre transformation

Naichung Conan Leung

arxiv:math/0110330 v1 · 2001-10-31 · math.SG · math.AG · 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{SB63XX3IZMZU5VH7VT2DCW7NW5}

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	2026-05-18T01:05:37.502379Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

907dbbdf68cb334ed4ffacf4315bedb76ea6a852595b553fbe1745ffcbd5a1f9

Aliases

arxiv: math/0110330 · arxiv_version: math/0110330v1 · doi: 10.48550/arxiv.math/0110330 · pith_short_12: SB63XX3IZMZU · pith_short_16: SB63XX3IZMZU5VH7 · pith_short_8: SB63XX3I

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/SB63XX3IZMZU5VH7VT2DCW7NW5 \
  | 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: 907dbbdf68cb334ed4ffacf4315bedb76ea6a852595b553fbe1745ffcbd5a1f9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8c3f56f35079af55b316cf8e7fc029d95a51b0660ddeb336255330cb6d9cf5fa",
    "cross_cats_sorted": [
      "math.AG",
      "math.DG"
    ],
    "license": "",
    "primary_cat": "math.SG",
    "submitted_at": "2001-10-31T15:54:07Z",
    "title_canon_sha256": "0658ab5595eaa54bfec24347bd7c65a64325a94bfa92d5fd20977e4fe51417b1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0110330",
    "kind": "arxiv",
    "version": 1
  }
}