Pith Number

pith:7VAF7F7L

pith:2012:7VAF7F7LY5H5YRN5BVH326UXBS

not attested not anchored not stored refs pending

Fractional Noether's Theorem with Classical and Riemann-Liouville Derivatives

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

arxiv:1209.1330 v1 · 2012-09-06 · 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{7VAF7F7LY5H5YRN5BVH326UXBS}

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	2026-05-18T03:34:02.966495Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fd405f97ebc74fdc45bd0d4fbd7a970c8b4a42833ee338bb6f34bbabf38244fc

Aliases

arxiv: 1209.1330 · arxiv_version: 1209.1330v1 · doi: 10.48550/arxiv.1209.1330 · pith_short_12: 7VAF7F7LY5H5 · pith_short_16: 7VAF7F7LY5H5YRN5 · pith_short_8: 7VAF7F7L

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/7VAF7F7LY5H5YRN5BVH326UXBS \
  | 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: fd405f97ebc74fdc45bd0d4fbd7a970c8b4a42833ee338bb6f34bbabf38244fc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2d34ece9524ef998d8c3a558b61bf2a1e67c8ed057133b141a16dc0dc4b9a460",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2012-09-06T16:15:43Z",
    "title_canon_sha256": "e3e66fc352ac16a167bfd067a7a389734c56c5ec31fec13f608494bea44b7070"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1209.1330",
    "kind": "arxiv",
    "version": 1
  }
}