Pith Number

pith:PW3JFNIH

pith:2011:PW3JFNIHHNSRCSSERBWT7FJJPS

not attested not anchored not stored refs pending

Models based on Mittag-Leffler functions for anomalous relaxation in dielectrics

Edmundo Capelas de Oliveira, Francesco Mainardi, Jayme Vaz Jr

arxiv:1106.1761 v2 · 2011-06-09 · cond-mat.stat-mech · cond-mat.mtrl-sci · math-ph · math.CV · 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{PW3JFNIHHNSRCSSERBWT7FJJPS}

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	2026-05-18T01:22:58.225222Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7db692b5073b65114a44886d3f95297cbb5f1ca1acab49e9ed50f7df570d0094

Aliases

arxiv: 1106.1761 · arxiv_version: 1106.1761v2 · doi: 10.48550/arxiv.1106.1761 · pith_short_12: PW3JFNIHHNSR · pith_short_16: PW3JFNIHHNSRCSSE · pith_short_8: PW3JFNIH

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/PW3JFNIHHNSRCSSERBWT7FJJPS \
  | 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: 7db692b5073b65114a44886d3f95297cbb5f1ca1acab49e9ed50f7df570d0094

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ce96e834647950ef1af7142317d260204a94146da01dca2c5d8a92b2ac4648c8",
    "cross_cats_sorted": [
      "cond-mat.mtrl-sci",
      "math-ph",
      "math.CV",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cond-mat.stat-mech",
    "submitted_at": "2011-06-09T09:50:49Z",
    "title_canon_sha256": "af8e2b94391bb6a06b0596cdd493e4215382157fed8d63eed3595d8c7f590a03"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1106.1761",
    "kind": "arxiv",
    "version": 2
  }
}