Pith Number

pith:ABGUF5EI

pith:2015:ABGUF5EIVJUS6M6YZ5B6CMTWB4

not attested not anchored not stored refs pending

New Derivatives on Fractal Subset of Real-line

Alireza Khalili Golmankhaneh, Dumitru Baleanu

arxiv:1601.06121 v1 · 2015-12-11 · math.CA · math-ph · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ABGUF5EIVJUS6M6YZ5B6CMTWB4}

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	2026-05-18T01:16:43.221839Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

004d42f488aa692f33d8cf43e132760f377b619a511125969e9d379d1356c350

Aliases

arxiv: 1601.06121 · arxiv_version: 1601.06121v1 · doi: 10.48550/arxiv.1601.06121 · pith_short_12: ABGUF5EIVJUS · pith_short_16: ABGUF5EIVJUS6M6Y · pith_short_8: ABGUF5EI

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/ABGUF5EIVJUS6M6YZ5B6CMTWB4 \
  | 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: 004d42f488aa692f33d8cf43e132760f377b619a511125969e9d379d1356c350

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "20ea032fc7e78d73c08a97af779d21fbc67053db92e0e42b53e898a632f16317",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://creativecommons.org/publicdomain/zero/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2015-12-11T21:12:28Z",
    "title_canon_sha256": "907336cbffc11edb9c54a642642541598328e8c124d65bfa1b808d90f4ac0be6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1601.06121",
    "kind": "arxiv",
    "version": 1
  }
}