Pith Number

pith:WA7AG7HH

pith:2018:WA7AG7HHD66HKWQ5KLIJJSZQDV

not attested not anchored not stored refs pending

Variational and Optimal Control Approaches for the Second-Order Herglotz Problem on Spheres

L. Abrunheiro, L. Machado, N. Martins

arxiv:1811.04693 v1 · 2018-11-12 · math.DG · 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{WA7AG7HHD66HKWQ5KLIJJSZQDV}

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	2026-05-18T00:01:04.348946Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b03e037ce71fbc755a1d52d094cb301d5517ca686e17d17440a7f314c2bec364

Aliases

arxiv: 1811.04693 · arxiv_version: 1811.04693v1 · doi: 10.48550/arxiv.1811.04693 · pith_short_12: WA7AG7HHD66H · pith_short_16: WA7AG7HHD66HKWQ5 · pith_short_8: WA7AG7HH

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/WA7AG7HHD66HKWQ5KLIJJSZQDV \
  | 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: b03e037ce71fbc755a1d52d094cb301d5517ca686e17d17440a7f314c2bec364

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d587c545e887035a774417f9b7478fb1a8f8e65d0ff8ecf6b71dbe64c16489c9",
    "cross_cats_sorted": [
      "math.OC"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2018-11-12T12:47:48Z",
    "title_canon_sha256": "1401cfba40705d93438674ce1a28a4b5aa28c61a96f72c7f5d44d7480841e8e4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1811.04693",
    "kind": "arxiv",
    "version": 1
  }
}