Pith Number

pith:7UQELJW5

pith:2013:7UQELJW5YZY2TVV4G632DOH5KR

not attested not anchored not stored refs pending

Power-law Spatial Dispersion from Fractional Liouville Equation

Vasily E. Tarasov

arxiv:1307.4930 v1 · 2013-07-18 · math-ph · cond-mat.stat-mech · math.MP · physics.plasm-ph

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{7UQELJW5YZY2TVV4G632DOH5KR}

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	2026-05-18T02:27:57.296646Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fd2045a6ddc671a9d6bc37b7a1b8fd5448cf460f6ec277fd61c4441ae09a8355

Aliases

arxiv: 1307.4930 · arxiv_version: 1307.4930v1 · doi: 10.48550/arxiv.1307.4930 · pith_short_12: 7UQELJW5YZY2 · pith_short_16: 7UQELJW5YZY2TVV4 · pith_short_8: 7UQELJW5

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/7UQELJW5YZY2TVV4G632DOH5KR \
  | 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: fd2045a6ddc671a9d6bc37b7a1b8fd5448cf460f6ec277fd61c4441ae09a8355

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e7c7cdf2056c8a978a734d6d057c0422f2fe82266506fb8ec8fe4b13f631e146",
    "cross_cats_sorted": [
      "cond-mat.stat-mech",
      "math.MP",
      "physics.plasm-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2013-07-18T13:09:31Z",
    "title_canon_sha256": "0a531a215617112b51005ef56b8ea8206fb76afed48fbfc577b06a638a1d10fd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1307.4930",
    "kind": "arxiv",
    "version": 1
  }
}