Pith Number

pith:25KWUJYQ

pith:2017:25KWUJYQ2V2BV6X3E5REM46BHW

not attested not anchored not stored refs pending

The traffic distribution of the squared unimodular random matrix and a formula for the moments of its ESD

Jorge Garza Vargas

arxiv:1709.01498 v2 · 2017-09-05 · 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{25KWUJYQ2V2BV6X3E5REM46BHW}

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	2026-05-18T00:24:30.739120Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d7556a2710d5741afafb27624673c13d969e11eb4f8128e79fdc07fa3d3ff7c6

Aliases

arxiv: 1709.01498 · arxiv_version: 1709.01498v2 · doi: 10.48550/arxiv.1709.01498 · pith_short_12: 25KWUJYQ2V2B · pith_short_16: 25KWUJYQ2V2BV6X3 · pith_short_8: 25KWUJYQ

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/25KWUJYQ2V2BV6X3E5REM46BHW \
  | 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: d7556a2710d5741afafb27624673c13d969e11eb4f8128e79fdc07fa3d3ff7c6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e5f5a213ceae1fe8e588efceb9f8137309fb6d80ee24ef3e9c918e736f6bbdc2",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2017-09-05T17:28:15Z",
    "title_canon_sha256": "cc93c1784406594de7753d6c4bf412f6d705c0d23a31d747554863a811bd839c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1709.01498",
    "kind": "arxiv",
    "version": 2
  }
}