Pith Number

pith:BGRIZ55H

pith:2019:BGRIZ55H3X4BBFOU3RN3EV4VDM

not attested not anchored not stored refs pending

Noether-type theorem for fractional variational problems depending on fractional derivatives of functions

G. S. F. Frederico, M. J. Lazo, P. M. Carvalho-Neto

arxiv:1908.11414 v1 · 2019-08-29 · math.OC · math-ph · math.DS · math.MP · physics.class-ph

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{BGRIZ55H3X4BBFOU3RN3EV4VDM}

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	2026-07-05T00:00:36.215584Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

09a28cf7a7ddf81095d4dc5bb257951b21f675350f47248993d6480661b871fd

Aliases

arxiv: 1908.11414 · arxiv_version: 1908.11414v1 · doi: 10.48550/arxiv.1908.11414 · pith_short_12: BGRIZ55H3X4B · pith_short_16: BGRIZ55H3X4BBFOU · pith_short_8: BGRIZ55H

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/BGRIZ55H3X4BBFOU3RN3EV4VDM \
  | 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: 09a28cf7a7ddf81095d4dc5bb257951b21f675350f47248993d6480661b871fd

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4ef55517bf2cfc865e8e12bd8efa84d1da5587de04a12e6f8cd1f85cb851b17e",
    "cross_cats_sorted": [
      "math-ph",
      "math.DS",
      "math.MP",
      "physics.class-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2019-08-29T18:30:28Z",
    "title_canon_sha256": "79932a96fcc8ab71a1b217d88c262b245d4b2eb3bdc04e13d8f9448d5fb641f6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1908.11414",
    "kind": "arxiv",
    "version": 1
  }
}