Pith Number

pith:KLITPNCS

pith:2021:KLITPNCS6LZ5B2SEQ2DRTHX7WM

not attested not anchored not stored refs pending

Random geometric graphs and the spherical Wishart matrix

Andrew Vander Werf, Elliot Paquette

arxiv:2110.10785 v1 · 2021-10-20 · math.PR · math.CO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{KLITPNCS6LZ5B2SEQ2DRTHX7WM}

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	2026-07-05T03:24:32.354444Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

52d137b452f2f3d0ea448687199effb3306f071fa8aedffc69c863f84ed291c4

Aliases

arxiv: 2110.10785 · arxiv_version: 2110.10785v1 · doi: 10.48550/arxiv.2110.10785 · pith_short_12: KLITPNCS6LZ5 · pith_short_16: KLITPNCS6LZ5B2SE · pith_short_8: KLITPNCS

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/KLITPNCS6LZ5B2SEQ2DRTHX7WM \
  | 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: 52d137b452f2f3d0ea448687199effb3306f071fa8aedffc69c863f84ed291c4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e798b07c761efeb36fd96d27d013d107d28fbf958824eac00e602307f0e87fea",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2021-10-20T21:25:09Z",
    "title_canon_sha256": "048a7783ab1fd70403b86e13bfd5b22ec092979f13c14b94c4dc75d625a40c5e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2110.10785",
    "kind": "arxiv",
    "version": 1
  }
}