Pith Number

pith:ALHIHZ5T

pith:2012:ALHIHZ5TZYZY5KWDJPCTMYFCN5

not attested not anchored not stored refs pending

A class of fractional optimal control problems and fractional Pontryagin's systems. Existence of a fractional Noether's theorem

Lo\"ic Bourdin

arxiv:1203.1422 v1 · 2012-03-07 · 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{ALHIHZ5TZYZY5KWDJPCTMYFCN5}

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	2026-05-18T04:00:38.730664Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

02ce83e7b3ce338eaac34bc53660a26f436db9dd09830de0500e7abe54508584

Aliases

arxiv: 1203.1422 · arxiv_version: 1203.1422v1 · doi: 10.48550/arxiv.1203.1422 · pith_short_12: ALHIHZ5TZYZY · pith_short_16: ALHIHZ5TZYZY5KWD · pith_short_8: ALHIHZ5T

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/ALHIHZ5TZYZY5KWDJPCTMYFCN5 \
  | 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: 02ce83e7b3ce338eaac34bc53660a26f436db9dd09830de0500e7abe54508584

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bc96c2f354b21a615fee8252269920424693d1e48ecad4a7b890cb4034fa4bc9",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2012-03-07T09:56:29Z",
    "title_canon_sha256": "599255c1836d96f6b1a8b695aef1dc0c195baa7e941f68292fffb1f98fa9b7ba"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1203.1422",
    "kind": "arxiv",
    "version": 1
  }
}