Pith Number

pith:TG7XXTL5

pith:2015:TG7XXTL5BK4DUKXGXRHRKYINSV

not attested not anchored not stored refs pending

Macroscopic analysis of determinantal random balls

Adrien Clarenne, Jean-Christophe Breton, Renan Gobard

arxiv:1504.04513 v2 · 2015-04-17 · 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{TG7XXTL5BK4DUKXGXRHRKYINSV}

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	2026-05-18T00:43:18.867717Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

99bf7bcd7d0ab83a2ae6bc4f15610d95588307aca60ade77cb1d6d103efb0bcf

Aliases

arxiv: 1504.04513 · arxiv_version: 1504.04513v2 · doi: 10.48550/arxiv.1504.04513 · pith_short_12: TG7XXTL5BK4D · pith_short_16: TG7XXTL5BK4DUKXG · pith_short_8: TG7XXTL5

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/TG7XXTL5BK4DUKXGXRHRKYINSV \
  | 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: 99bf7bcd7d0ab83a2ae6bc4f15610d95588307aca60ade77cb1d6d103efb0bcf

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "00da4b63fc89db43717b110f42df0237af2857cf9b29641e467f3031010a1d03",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2015-04-17T14:36:16Z",
    "title_canon_sha256": "7f5442af8dbd7e61830f7b4b539a14b744fe49300ebb739e5348f792fc34ed7d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1504.04513",
    "kind": "arxiv",
    "version": 2
  }
}