Pith Number

pith:AQOOGEBT

pith:2016:AQOOGEBTWRF33RQCDXJADJPXLN

not attested not anchored not stored refs pending

Hight-order Noether's Theorem for Nonsmooth Extremals of Isoperimetric Variational Problems with Time Delay

G. S. F. Frederico, M. J. Lazo

arxiv:1603.06029 v2 · 2016-03-19 · 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{AQOOGEBTWRF33RQCDXJADJPXLN}

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	2026-05-18T01:18:22.854040Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

041ce31033b44bbdc6021dd201a5f75b53627338ae7de8591b96e81faa41cd75

Aliases

arxiv: 1603.06029 · arxiv_version: 1603.06029v2 · doi: 10.48550/arxiv.1603.06029 · pith_short_12: AQOOGEBTWRF3 · pith_short_16: AQOOGEBTWRF33RQC · pith_short_8: AQOOGEBT

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/AQOOGEBTWRF33RQCDXJADJPXLN \
  | 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: 041ce31033b44bbdc6021dd201a5f75b53627338ae7de8591b96e81faa41cd75

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "faf02624e31149f4ef70d8eeea5d0065b6c5ef9e3f9e6694f94c541941670ea8",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2016-03-19T01:35:32Z",
    "title_canon_sha256": "f2892ab1dd065e2be38518a61b50c64c87d80ebdadb9a4012bcccc66e6515a5e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1603.06029",
    "kind": "arxiv",
    "version": 2
  }
}