Pith Number

pith:OI6MZ7XX

pith:2016:OI6MZ7XXWGKO66RGU7KHPBPP5V

not attested not anchored not stored refs pending

On complete monotonicity of the Prabhakar function and non-Debye relaxation in dielectrics

Francesco Mainardi, Roberto Garrappa

arxiv:1610.01763 v1 · 2016-10-06 · math-ph · cond-mat.mtrl-sci · math.CV · math.MP · physics.class-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{OI6MZ7XXWGKO66RGU7KHPBPP5V}

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	2026-05-18T01:03:04.925687Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

723cccfef7b194ef7a26a7d47785efed74829f38d28c72c5e92f48cf82b39ef1

Aliases

arxiv: 1610.01763 · arxiv_version: 1610.01763v1 · doi: 10.48550/arxiv.1610.01763 · pith_short_12: OI6MZ7XXWGKO · pith_short_16: OI6MZ7XXWGKO66RG · pith_short_8: OI6MZ7XX

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/OI6MZ7XXWGKO66RGU7KHPBPP5V \
  | 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: 723cccfef7b194ef7a26a7d47785efed74829f38d28c72c5e92f48cf82b39ef1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "26aad21f0e9339ee3aaa32f5ebdc7636039d0c387722a7e276bceb5e0bab0923",
    "cross_cats_sorted": [
      "cond-mat.mtrl-sci",
      "math.CV",
      "math.MP",
      "physics.class-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2016-10-06T07:44:59Z",
    "title_canon_sha256": "f4c8de170030d4deda9bda57eaed8d276ca5218274ca7d098774973b3a65b510"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1610.01763",
    "kind": "arxiv",
    "version": 1
  }
}