Pith Number

pith:MDXX6YDR

pith:2012:MDXX6YDRF6KY3MHW4PT5P5L2AV

not attested not anchored not stored refs pending

Momentum transforms and Laplacians in fractional spaces

Gianluca Calcagni, Giuseppe Nardelli

arxiv:1202.5383 v3 · 2012-02-24 · math-ph · hep-th · 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{MDXX6YDRF6KY3MHW4PT5P5L2AV}

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.

Cited by

1 paper in Pith

Noether charges and the first law of thermodynamics for multifractional Schwarzschild black hole in the q-derivative theory

Receipt and verification

First computed	2026-05-18T02:21:17.582036Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

60ef7f60712f958db0f6e3e7d7f57a056c8a81b961d08dd02deb0dfa25e3cd99

Aliases

arxiv: 1202.5383 · arxiv_version: 1202.5383v3 · doi: 10.48550/arxiv.1202.5383 · pith_short_12: MDXX6YDRF6KY · pith_short_16: MDXX6YDRF6KY3MHW · pith_short_8: MDXX6YDR

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/MDXX6YDRF6KY3MHW4PT5P5L2AV \
  | 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: 60ef7f60712f958db0f6e3e7d7f57a056c8a81b961d08dd02deb0dfa25e3cd99

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e869ef5a14c207cc9271e2e763bf3eb3c7d1af820f9a5b6e61fee391e8b1124a",
    "cross_cats_sorted": [
      "hep-th",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2012-02-24T07:45:52Z",
    "title_canon_sha256": "84b577094fe88d6349092fb946947fcffb426ff83b60970ad8786fc7f28542d8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1202.5383",
    "kind": "arxiv",
    "version": 3
  }
}