Pith Number

pith:6I752J7O

pith:2018:6I752J7O2UTGL37DCGLOH5PBMA

not attested not anchored not stored refs pending

Sampling by Intersections with Random Geodesics

Uri Grupel

arxiv:1809.08961 v1 · 2018-09-24 · math.FA · 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{6I752J7O2UTGL37DCGLOH5PBMA}

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	2026-05-18T00:05:03.064778Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f23fdd27eed52665efe31196e3f5e1600e75b2895f4e16f435e482149be71c92

Aliases

arxiv: 1809.08961 · arxiv_version: 1809.08961v1 · doi: 10.48550/arxiv.1809.08961 · pith_short_12: 6I752J7O2UTG · pith_short_16: 6I752J7O2UTGL37D · pith_short_8: 6I752J7O

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/6I752J7O2UTGL37DCGLOH5PBMA \
  | 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: f23fdd27eed52665efe31196e3f5e1600e75b2895f4e16f435e482149be71c92

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a08c554f5ee1791f9973f10a5fcfbbef2b34a23853dc27eb1988c4e37bee1ae2",
    "cross_cats_sorted": [
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2018-09-24T14:17:09Z",
    "title_canon_sha256": "269877d95178552c04332cf4d0c59ed72613657822d619b8d319e518809f9332"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1809.08961",
    "kind": "arxiv",
    "version": 1
  }
}