Pith Number

pith:OYT5QEDT

pith:2020:OYT5QEDTEY56IACHZJ573ZCZQA

not attested not anchored not stored refs pending

Anchored expansion of Delaunay complexes in real hyperbolic space and stationary point processes

Elliot Paquette, Itai Benjamini, Yoav Krauz

arxiv:2008.01063 v3 · 2020-08-03 · math.PR · math.MG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{OYT5QEDTEY56IACHZJ573ZCZQA}

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	2026-07-05T03:02:08.529986Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7627d81073263be40047ca7bfde4598006f688d56bc59bc42ed7c6aa02de3b0c

Aliases

arxiv: 2008.01063 · arxiv_version: 2008.01063v3 · doi: 10.48550/arxiv.2008.01063 · pith_short_12: OYT5QEDTEY56 · pith_short_16: OYT5QEDTEY56IACH · pith_short_8: OYT5QEDT

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/OYT5QEDTEY56IACHZJ573ZCZQA \
  | 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: 7627d81073263be40047ca7bfde4598006f688d56bc59bc42ed7c6aa02de3b0c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "036709dce5865c7475127c750f3994598ac64a5d261ef4a07185aec9168924d1",
    "cross_cats_sorted": [
      "math.MG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2020-08-03T17:52:18Z",
    "title_canon_sha256": "f3bdc6bd70872ef63e3c325b4404d324c4b2b27000732f83583951bf9f632e55"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2008.01063",
    "kind": "arxiv",
    "version": 3
  }
}