Pith Number

pith:CJMVCCBQ

pith:2003:CJMVCCBQGNQGQANPDWYLZXGY4T

not attested not anchored not stored refs pending

A note on mean curvature, Maslov class and symplectic area of Lagrangian immersions

Edward Goldstein, Kai Cieliebak

arxiv:math/0310046 v3 · 2003-10-03 · math.DG · 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{CJMVCCBQGNQGQANPDWYLZXGY4T}

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	2026-07-04T14:37:46.019185Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

125951083033606801af1db0bcdcd8e4d3776511821709bfaf767494e6216f61

Aliases

arxiv: math/0310046 · arxiv_version: math/0310046v3 · doi: 10.48550/arxiv.math/0310046 · pith_short_12: CJMVCCBQGNQG · pith_short_16: CJMVCCBQGNQGQANP · pith_short_8: CJMVCCBQ

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/CJMVCCBQGNQGQANPDWYLZXGY4T \
  | 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: 125951083033606801af1db0bcdcd8e4d3776511821709bfaf767494e6216f61

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "813d9327c2d00f785674b9d1a3b39681584b32a497f2935da5cf17a65c39c9e0",
    "cross_cats_sorted": [
      "math.SG"
    ],
    "license": "",
    "primary_cat": "math.DG",
    "submitted_at": "2003-10-03T19:31:11Z",
    "title_canon_sha256": "71f3bf1cb250bfeab784bcab5808a41fa98d0f21204a33af28c04a35573bb8d0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0310046",
    "kind": "arxiv",
    "version": 3
  }
}