Pith Number

pith:THAPRW4J

pith:2012:THAPRW4JXFOKHWOQBGWXVZJMQ3

not attested not anchored not stored refs pending

Fractional Calculus: Some Basic Problems in Continuum and Statistical Mechanics

Francesco Mainardi

arxiv:1201.0863 v1 · 2012-01-04 · cond-mat.stat-mech · 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{THAPRW4JXFOKHWOQBGWXVZJMQ3}

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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

Surmounting potential barriers: hydrodynamic memory hedges against thermal fluctuations in particle transport

Receipt and verification

First computed	2026-05-18T04:05:16.122169Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

99c0f8db89b95ca3d9d009ad7ae52c86d27f52783a03f38a4aa0c0e75c1b4b85

Aliases

arxiv: 1201.0863 · arxiv_version: 1201.0863v1 · doi: 10.48550/arxiv.1201.0863 · pith_short_12: THAPRW4JXFOK · pith_short_16: THAPRW4JXFOKHWOQ · pith_short_8: THAPRW4J

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/THAPRW4JXFOKHWOQBGWXVZJMQ3 \
  | 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: 99c0f8db89b95ca3d9d009ad7ae52c86d27f52783a03f38a4aa0c0e75c1b4b85

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "03e9201c87db87ef53b16bc6fe31ebac98fb9b27ef06a86dd96bd796aa7f802d",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cond-mat.stat-mech",
    "submitted_at": "2012-01-04T10:06:47Z",
    "title_canon_sha256": "67402be7bbeb1e3d6737f17d9289e0ecef4b2aaa7a039f2d4f083951954b90a7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1201.0863",
    "kind": "arxiv",
    "version": 1
  }
}