Pith Number

pith:CXWUIQ23

pith:2015:CXWUIQ23X3RIPQ7VX5WIFWJM6V

not attested not anchored not stored refs pending

Nonsymmetric and Symmetric Fractional Calculi on Arbitrary Nonempty Closed Sets

Artur M. C. Brito da Cruz, Delfim F. M. Torres, Nadia Benkhettou

arxiv:1502.07277 v1 · 2015-02-25 · math.CA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{CXWUIQ23X3RIPQ7VX5WIFWJM6V}

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	2026-05-18T01:23:38.487108Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

15ed44435bbee287c3f5bf6c82d92cf5478ad114332a06d0a9f90dfce0cdc645

Aliases

arxiv: 1502.07277 · arxiv_version: 1502.07277v1 · doi: 10.48550/arxiv.1502.07277 · pith_short_12: CXWUIQ23X3RI · pith_short_16: CXWUIQ23X3RIPQ7V · pith_short_8: CXWUIQ23

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/CXWUIQ23X3RIPQ7VX5WIFWJM6V \
  | 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: 15ed44435bbee287c3f5bf6c82d92cf5478ad114332a06d0a9f90dfce0cdc645

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "842bac0cecb2cc118abe423d8c8a8c56af43832180e1063fcf2170e2fd0ca4f4",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2015-02-25T18:01:58Z",
    "title_canon_sha256": "0f645b268e64d0cf85983746b4cd3890822f2af3f0c68f3968fd026959178051"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1502.07277",
    "kind": "arxiv",
    "version": 1
  }
}