Pith Number

pith:5YUQPBHJ

pith:2006:5YUQPBHJYRIGVTM4ETYNIA4X5W

not attested not anchored not stored refs pending

Fractional Hamiltonian analysis of higher order derivatives systems

Dumitru Baleanu, Kenan Tas, Sami I. Muslih

arxiv:math-ph/0612024 v1 · 2006-12-07 · 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{5YUQPBHJYRIGVTM4ETYNIA4X5W}

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	2026-05-18T01:38:32.520963Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ee290784e9c4506acd9c24f0d40397ed86d4f28c01bbc639de0c8b91c1ae7386

Aliases

arxiv: math-ph/0612024 · arxiv_version: math-ph/0612024v1 · doi: 10.48550/arxiv.math-ph/0612024 · pith_short_12: 5YUQPBHJYRIG · pith_short_16: 5YUQPBHJYRIGVTM4 · pith_short_8: 5YUQPBHJ

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/5YUQPBHJYRIGVTM4ETYNIA4X5W \
  | 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: ee290784e9c4506acd9c24f0d40397ed86d4f28c01bbc639de0c8b91c1ae7386

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "abb17a696a792107e47bc2882dd9ea46f6958940d0a47d6bf9086c24869476a2",
    "cross_cats_sorted": [
      "math.MP"
    ],
    "license": "",
    "primary_cat": "math-ph",
    "submitted_at": "2006-12-07T21:48:04Z",
    "title_canon_sha256": "845520225742fe182b7ca9b52b6c5799fda33fa3da7acf2f1e40a6d80b5674dc"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math-ph/0612024",
    "kind": "arxiv",
    "version": 1
  }
}