Pith Number

pith:EIGYF75K

pith:2012:EIGYF75KIWREHWRGGIB7JZMTUS

not attested not anchored not stored refs pending

Fractional isoperimetric Noether's theorem in the Riemann-Liouville sense

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

arxiv:1205.4853 v2 · 2012-05-22 · 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{EIGYF75KIWREHWRGGIB7JZMTUS}

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	2026-05-18T03:19:11.671432Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

220d82ffaa45a243da263203f4e593a4a8fb5dd156cd3859cc9c8d91024e495c

Aliases

arxiv: 1205.4853 · arxiv_version: 1205.4853v2 · doi: 10.48550/arxiv.1205.4853 · pith_short_12: EIGYF75KIWRE · pith_short_16: EIGYF75KIWREHWRG · pith_short_8: EIGYF75K

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/EIGYF75KIWREHWRGGIB7JZMTUS \
  | 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: 220d82ffaa45a243da263203f4e593a4a8fb5dd156cd3859cc9c8d91024e495c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5d8e8b20edfcb3206b0aeebb014f0485578075c0324be9b1d14f399ae38d2029",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2012-05-22T09:28:50Z",
    "title_canon_sha256": "01f892eb21656bbb64f77da475ffe2165a3a82ecf95ab9525f2056881854603f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1205.4853",
    "kind": "arxiv",
    "version": 2
  }
}