Pith Number

pith:U5RCD4EM

pith:2013:U5RCD4EMONTWQWAWVEIK5J2WMT

not attested not anchored not stored refs pending

On the ubiquity of the Cauchy distribution in spectral problems

Michael Aizenman, Simone Warzel

arxiv:1312.7769 v2 · 2013-12-30 · math-ph · math.MP · math.PR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{U5RCD4EMONTWQWAWVEIK5J2WMT}

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	2026-05-18T00:35:44.592359Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a76221f08c7367685816a910aea75664d4ada40f1b9b3e857a7823818c8bed70

Aliases

arxiv: 1312.7769 · arxiv_version: 1312.7769v2 · doi: 10.48550/arxiv.1312.7769 · pith_short_12: U5RCD4EMONTW · pith_short_16: U5RCD4EMONTWQWAW · pith_short_8: U5RCD4EM

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/U5RCD4EMONTWQWAWVEIK5J2WMT \
  | 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: a76221f08c7367685816a910aea75664d4ada40f1b9b3e857a7823818c8bed70

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "027d379e2b16f8ac033882e165ef156cb00b7fa010cb43fc4ad03c07a8ab23f2",
    "cross_cats_sorted": [
      "math.MP",
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2013-12-30T16:29:48Z",
    "title_canon_sha256": "2a9d8d5e7fa9e78f690f3c2062ac50b8e359d617b465d294b73fe785b6ed62d9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1312.7769",
    "kind": "arxiv",
    "version": 2
  }
}