Pith Number

pith:UZ4HAEAS

pith:2005:UZ4HAEAS4JMCFHZPJMV27FSSMF

not attested not anchored not stored refs pending

Automatic Computation of Conservation Laws in the Calculus of Variations and Optimal Control

Delfim F. M. Torres, Paulo D. F. Gouveia

arxiv:math/0509140 v1 · 2005-09-07 · math.OC · 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{UZ4HAEAS4JMCFHZPJMV27FSSMF}

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	2026-05-18T03:41:32.607269Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a678701012e258229f2f4b2baf96526145b35668bcd307f9e5fa1460845d21ee

Aliases

arxiv: math/0509140 · arxiv_version: math/0509140v1 · doi: 10.48550/arxiv.math/0509140 · pith_short_12: UZ4HAEAS4JMC · pith_short_16: UZ4HAEAS4JMCFHZP · pith_short_8: UZ4HAEAS

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/UZ4HAEAS4JMCFHZPJMV27FSSMF \
  | 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: a678701012e258229f2f4b2baf96526145b35668bcd307f9e5fa1460845d21ee

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "52b1cf525c364bec6527fde33359197a59abfda7952697505a413365425ca195",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "",
    "primary_cat": "math.OC",
    "submitted_at": "2005-09-07T00:56:52Z",
    "title_canon_sha256": "a32c28bb2ab45d1d69a769ffc0bbc92593d01ea2a062cbe86adb64dd005590a2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0509140",
    "kind": "arxiv",
    "version": 1
  }
}