Pith Number

pith:72JUCL2H

pith:2006:72JUCL2HPI3RGIFVJ72IGIDF67

not attested not anchored not stored refs pending

Lagrangian surfaces in complex Euclidean plane via spherical and hyperbolic curves

Bang-Yen Chen, Ildefonso Castro

arxiv:math/0603368 v1 · 2006-03-15 · 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{72JUCL2HPI3RGIFVJ72IGIDF67}

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	2026-05-18T03:39:17.139261Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fe93412f477a371320b54ff4832065f7ef1a4d9d2e2581ed880158428c7f85b5

Aliases

arxiv: math/0603368 · arxiv_version: math/0603368v1 · doi: 10.48550/arxiv.math/0603368 · pith_short_12: 72JUCL2HPI3R · pith_short_16: 72JUCL2HPI3RGIFV · pith_short_8: 72JUCL2H

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/72JUCL2HPI3RGIFVJ72IGIDF67 \
  | 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: fe93412f477a371320b54ff4832065f7ef1a4d9d2e2581ed880158428c7f85b5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c7669e266b34b07d46ca5ece021100f053876512415bf6e862be6312d30525d5",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.DG",
    "submitted_at": "2006-03-15T12:10:23Z",
    "title_canon_sha256": "8ef676b80870dbccdd097c125dc72d414791af1b6a0395649fd837a9d76a58e8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0603368",
    "kind": "arxiv",
    "version": 1
  }
}