Pith Number

pith:WSFJ4MAN

pith:2004:WSFJ4MANILSY52OM5TQ5L5CJDR

not attested not anchored not stored refs pending

Symbolic Computation in the Calculus of Variations: Determination of Symmetries and Conservation Laws (in Portuguese)

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

arxiv:math/0411211 v1 · 2004-11-09 · math.OC

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{WSFJ4MANILSY52OM5TQ5L5CJDR}

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	2026-05-18T04:14:16.878443Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b48a9e300d42e58ee9ccece1d5f4491c6f4657ab30800a75f0a5a84a74e4ceb5

Aliases

arxiv: math/0411211 · arxiv_version: math/0411211v1 · doi: 10.48550/arxiv.math/0411211 · pith_short_12: WSFJ4MANILSY · pith_short_16: WSFJ4MANILSY52OM · pith_short_8: WSFJ4MAN

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/WSFJ4MANILSY52OM5TQ5L5CJDR \
  | 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: b48a9e300d42e58ee9ccece1d5f4491c6f4657ab30800a75f0a5a84a74e4ceb5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "507de070191504a2ea7abd7eed1f280b03018948d0888d66b2590579c80295d4",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.OC",
    "submitted_at": "2004-11-09T19:23:14Z",
    "title_canon_sha256": "403f4d19a97048136975ce739cf5bc90016b71026164203ebbf33cd2d0d48408"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0411211",
    "kind": "arxiv",
    "version": 1
  }
}