Pith Number

pith:YDAA5UTJ

pith:2020:YDAA5UTJ7BA7LMOHXYA7I3RB3A

not attested not anchored not stored refs pending

Probability-turbulence divergence: A tunable allotaxonometric instrument for comparing heavy-tailed categorical distributions

A. J. Reagan, C. M. Danforth, J. L. Adams, J. R. Minot, M. V. Arnold, P. S. Dodds, T. Alshaabi

arxiv:2008.13078 v3 · 2020-08-30 · physics.soc-ph · cs.IR · physics.data-an

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{YDAA5UTJ7BA7LMOHXYA7I3RB3A}

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	2026-07-05T10:31:20.928518Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c0c00ed269f841f5b1c7be01f46e21d83a7a44a83ce68394a84bea895ca1b018

Aliases

arxiv: 2008.13078 · arxiv_version: 2008.13078v3 · doi: 10.48550/arxiv.2008.13078 · pith_short_12: YDAA5UTJ7BA7 · pith_short_16: YDAA5UTJ7BA7LMOH · pith_short_8: YDAA5UTJ

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/YDAA5UTJ7BA7LMOHXYA7I3RB3A \
  | 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: c0c00ed269f841f5b1c7be01f46e21d83a7a44a83ce68394a84bea895ca1b018

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c734812c511f14bc5d6691562d6caf519dbc9b8f2fd88a47483fad36a112d549",
    "cross_cats_sorted": [
      "cs.IR",
      "physics.data-an"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "physics.soc-ph",
    "submitted_at": "2020-08-30T02:57:38Z",
    "title_canon_sha256": "a11e4387d7c745b699dead827e8fac468bad3a8694185ececeabcfebda5cda99"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2008.13078",
    "kind": "arxiv",
    "version": 3
  }
}