Pith Number

pith:5NLG72MQ

pith:2015:5NLG72MQ4JI4LSVAJGYTEY5Q53

not attested not anchored not stored refs pending

Geometric Constrained Variational Calculus. I. - Piecewise smooth extremals

Danilo Bruno, Enrico Massa, Enrico Pagani, Gianvittorio Luria

arxiv:1503.08808 v1 · 2015-03-30 · 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{5NLG72MQ4JI4LSVAJGYTEY5Q53}

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	2026-05-18T02:16:40.775106Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

eb566fe990e251c5caa049b13263b0eee969828e999f94d45c89c0861734a8f4

Aliases

arxiv: 1503.08808 · arxiv_version: 1503.08808v1 · doi: 10.48550/arxiv.1503.08808 · pith_short_12: 5NLG72MQ4JI4 · pith_short_16: 5NLG72MQ4JI4LSVA · pith_short_8: 5NLG72MQ

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/5NLG72MQ4JI4LSVAJGYTEY5Q53 \
  | 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: eb566fe990e251c5caa049b13263b0eee969828e999f94d45c89c0861734a8f4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "eeb5e2b61554c0a77527906ef3ee3b3b2055dbb9d6f3eb9dcbe69caff08cef6b",
    "cross_cats_sorted": [
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2015-03-30T19:30:32Z",
    "title_canon_sha256": "937fb1d80d3b66aa194ad434bb512224d7c3e22d4505d116120c58e1c1222fff"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1503.08808",
    "kind": "arxiv",
    "version": 1
  }
}