Pith Number

pith:ZGJIWZ3E

pith:2011:ZGJIWZ3EHPNEEJA7TRKWAJZILO

not attested not anchored not stored refs pending

Variational problems with fractional derivatives: Invariance conditions and N\"{o}ther's theorem

Sanja Konjik, Srboljub Simic, Stevan Pilipovic, Teodor M. Atanackovic

arxiv:1101.2962 v1 · 2011-01-15 · math.FA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ZGJIWZ3EHPNEEJA7TRKWAJZILO}

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	2026-05-18T04:31:30.670216Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c9928b67643bda42241f9c556027285b9ef4f510036b61cfe7517dba2d9de92a

Aliases

arxiv: 1101.2962 · arxiv_version: 1101.2962v1 · doi: 10.48550/arxiv.1101.2962 · pith_short_12: ZGJIWZ3EHPNE · pith_short_16: ZGJIWZ3EHPNEEJA7 · pith_short_8: ZGJIWZ3E

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/ZGJIWZ3EHPNEEJA7TRKWAJZILO \
  | 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: c9928b67643bda42241f9c556027285b9ef4f510036b61cfe7517dba2d9de92a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a47c3caa3de5152fcccc455628418e8a1518c0ae0df2c8b7eab3ffb4d864d664",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2011-01-15T10:18:02Z",
    "title_canon_sha256": "be32673e80a59f7c8124ce225af3268b15a1660aa818d2cdbc924b08b50d1282"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1101.2962",
    "kind": "arxiv",
    "version": 1
  }
}