Pith Number

pith:SM2PDSJP

pith:2007:SM2PDSJPWN4DRMVX2IHO4RJPNF

not attested not anchored not stored refs pending

Tail universalities in rank distributions as an algebraic problem: the beta-like function

Gerardo G. Naumis, Germinal Cocho

arxiv:0705.0551 v1 · 2007-05-04 · physics.data-an · physics.gen-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{SM2PDSJPWN4DRMVX2IHO4RJPNF}

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	2026-05-18T01:30:43.675144Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9334f1c92fb37838b2b7d20eee452f6979174ed5d83c73c3454ece8ab2fe023b

Aliases

arxiv: 0705.0551 · arxiv_version: 0705.0551v1 · doi: 10.48550/arxiv.0705.0551 · pith_short_12: SM2PDSJPWN4D · pith_short_16: SM2PDSJPWN4DRMVX · pith_short_8: SM2PDSJP

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/SM2PDSJPWN4DRMVX2IHO4RJPNF \
  | 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: 9334f1c92fb37838b2b7d20eee452f6979174ed5d83c73c3454ece8ab2fe023b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f42d7f7a64b8c6c2cea6c27d6ce4b47055ef5257e9f1dff4eabb1f48262e9cd8",
    "cross_cats_sorted": [
      "physics.gen-ph"
    ],
    "license": "",
    "primary_cat": "physics.data-an",
    "submitted_at": "2007-05-04T00:11:24Z",
    "title_canon_sha256": "8a93cf67b02902e10f8c6efba24a083e148e744cb343b42e6e7fc8462134e054"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0705.0551",
    "kind": "arxiv",
    "version": 1
  }
}