Pith Number

pith:ZOW7V2XR

pith:2018:ZOW7V2XRCM6GUSBJLYLHIE3SVF

not attested not anchored not stored refs pending

Fractional powers of vector operators and fractional Fourier's law in a Hilbert space

Fabrizio Colombo, Jonathan Gantner

arxiv:1804.09227 v1 · 2018-04-24 · 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{ZOW7V2XRCM6GUSBJLYLHIE3SVF}

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	2026-05-18T00:09:14.420077Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cbadfaeaf1133c6a48295e16741372a95fb71c0be0f4ed0ab276efcdfbfe5010

Aliases

arxiv: 1804.09227 · arxiv_version: 1804.09227v1 · doi: 10.48550/arxiv.1804.09227 · pith_short_12: ZOW7V2XRCM6G · pith_short_16: ZOW7V2XRCM6GUSBJ · pith_short_8: ZOW7V2XR

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/ZOW7V2XRCM6GUSBJLYLHIE3SVF \
  | 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: cbadfaeaf1133c6a48295e16741372a95fb71c0be0f4ed0ab276efcdfbfe5010

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "31dc4dd0fa57aacae4cb14054c8d520cf7af2b48fd7f710ccd4fa2f335fa8776",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2018-04-24T19:41:41Z",
    "title_canon_sha256": "b68acd36efe4ffd8e8b8a1d16c726ad69dec95389ec46aa6b4b5742f01ce5815"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1804.09227",
    "kind": "arxiv",
    "version": 1
  }
}