Pith Number

pith:XR3BFGLX

pith:2012:XR3BFGLXPXKL7WEXJ5D5VMGPIN

not attested not anchored not stored refs pending

Lagrangian submanifolds and Hamilton-Jacobi equation

D. Mart\'in de Diego, M. Barbero-Li\~n\'an, M. De Le\'On

arxiv:1209.0807 v1 · 2012-09-04 · math-ph · math.MP

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{XR3BFGLXPXKL7WEXJ5D5VMGPIN}

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	2026-05-18T03:46:16.172492Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bc761299777dd4bfd8974f47dab0cf436b8632b4d9ff4dc9b7173bc4cda67192

Aliases

arxiv: 1209.0807 · arxiv_version: 1209.0807v1 · doi: 10.48550/arxiv.1209.0807 · pith_short_12: XR3BFGLXPXKL · pith_short_16: XR3BFGLXPXKL7WEX · pith_short_8: XR3BFGLX

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/XR3BFGLXPXKL7WEXJ5D5VMGPIN \
  | 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: bc761299777dd4bfd8974f47dab0cf436b8632b4d9ff4dc9b7173bc4cda67192

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bd31dbe3249e5b43bfb3ebfbe75c635457f447200515a32b1e680b5cddfe679f",
    "cross_cats_sorted": [
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2012-09-04T21:50:46Z",
    "title_canon_sha256": "ee7db6fb1ce3bccbbd9fe4bb343a4c3541b1730691484ffcd0676d22d3d0756e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1209.0807",
    "kind": "arxiv",
    "version": 1
  }
}