Pith Number

pith:KYRWC7AF

pith:2018:KYRWC7AFBUEI6ZTBABK6C3CZ6H

not attested not anchored not stored refs pending

Circular law for sparse random regular digraphs

Alexander Litvak, Anna Lytova, Konstantin Tikhomirov, Nicole Tomczak-Jaegermann, Pierre Youssef

arxiv:1801.05576 v2 · 2018-01-17 · 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{KYRWC7AFBUEI6ZTBABK6C3CZ6H}

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	2026-05-18T00:25:28.481300Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5623617c050d088f66610055e16c59f1c0aaf4fa0ebceb35cfea0d0cc92b7a44

Aliases

arxiv: 1801.05576 · arxiv_version: 1801.05576v2 · doi: 10.48550/arxiv.1801.05576 · pith_short_12: KYRWC7AFBUEI · pith_short_16: KYRWC7AFBUEI6ZTB · pith_short_8: KYRWC7AF

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/KYRWC7AFBUEI6ZTBABK6C3CZ6H \
  | 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: 5623617c050d088f66610055e16c59f1c0aaf4fa0ebceb35cfea0d0cc92b7a44

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8e1f1545a70d1ff13a4b74b17f68448e6219720732edd35a463ad9008b11500c",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2018-01-17T07:30:36Z",
    "title_canon_sha256": "4609d8f88f9057fcfec747e8b43cd7f22c2c9c4781d3112a71d4e58e0106bf6b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1801.05576",
    "kind": "arxiv",
    "version": 2
  }
}