Pith Number

pith:2GY7OONK

pith:2020:2GY7OONKSDPOGAVTQXXO7BWLZ7

not attested not anchored not stored refs pending

On the Spectrum of Dense Random Geometric Graphs

Kartick Adhikari, Omer Bobrowski, Robert J. Adler, Ron Rosenthal

arxiv:2004.04967 v1 · 2020-04-10 · 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{2GY7OONKSDPOGAVTQXXO7BWLZ7}

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	2026-07-05T00:54:24.161455Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d1b1f739aa90dee302b385eeef86cbcfd9d80ffcb03406bc4d6c8c2242e922fb

Aliases

arxiv: 2004.04967 · arxiv_version: 2004.04967v1 · doi: 10.48550/arxiv.2004.04967 · pith_short_12: 2GY7OONKSDPO · pith_short_16: 2GY7OONKSDPOGAVT · pith_short_8: 2GY7OONK

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/2GY7OONKSDPOGAVTQXXO7BWLZ7 \
  | 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: d1b1f739aa90dee302b385eeef86cbcfd9d80ffcb03406bc4d6c8c2242e922fb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "129c036c3fa1111e81e5d8f7d21438bd09804a128218027028f492cc5159b9d4",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2020-04-10T09:44:02Z",
    "title_canon_sha256": "75e173f5f3ce73986208b5607364e680ec45acbdcc25dd5be81cb576c44d1364"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2004.04967",
    "kind": "arxiv",
    "version": 1
  }
}