Pith Number

pith:JRPXTQNV

pith:2010:JRPXTQNVU3Y7PANWU4AYMAA6WM

not attested not anchored not stored refs pending

Fractional Noether's theorem in the Riesz-Caputo sense

Delfim F. M. Torres, Gastao S. F. Frederico

arxiv:1001.4507 v1 · 2010-01-25 · 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{JRPXTQNVU3Y7PANWU4AYMAA6WM}

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	2026-05-18T04:40:10.425561Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4c5f79c1b5a6f1f781b6a70186001eb313c1b79fca91e43c8d2a345edad64c56

Aliases

arxiv: 1001.4507 · arxiv_version: 1001.4507v1 · doi: 10.48550/arxiv.1001.4507 · pith_short_12: JRPXTQNVU3Y7 · pith_short_16: JRPXTQNVU3Y7PANW · pith_short_8: JRPXTQNV

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/JRPXTQNVU3Y7PANWU4AYMAA6WM \
  | 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: 4c5f79c1b5a6f1f781b6a70186001eb313c1b79fca91e43c8d2a345edad64c56

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "efb31cf38638f22c211462c742c89e84c3e711c707c40b7d4b3ed55fa74193a7",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2010-01-25T18:36:19Z",
    "title_canon_sha256": "d315c643bd886326dcfba4a27feeed723e8bdd8d1ebf3b4c0eb28158001acb47"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1001.4507",
    "kind": "arxiv",
    "version": 1
  }
}