Pith Number

pith:ONWKMOSZ

pith:2016:ONWKMOSZFGSB7NC2WZ3NTVA5A3

not attested not anchored not stored refs pending

Exceptional times of the critical dynamical Erd\H{o}s-R\'enyi graph

Bati Sengul, Matthew I. Roberts

arxiv:1610.06000 v3 · 2016-10-19 · math.PR · math.CO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ONWKMOSZFGSB7NC2WZ3NTVA5A3}

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	2026-05-18T00:31:29.015483Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

736ca63a5929a41fb45ab676d9d41d06e36e765f7d4c037c16e21a5a7674fb9d

Aliases

arxiv: 1610.06000 · arxiv_version: 1610.06000v3 · doi: 10.48550/arxiv.1610.06000 · pith_short_12: ONWKMOSZFGSB · pith_short_16: ONWKMOSZFGSB7NC2 · pith_short_8: ONWKMOSZ

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/ONWKMOSZFGSB7NC2WZ3NTVA5A3 \
  | 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: 736ca63a5929a41fb45ab676d9d41d06e36e765f7d4c037c16e21a5a7674fb9d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "eda0b21c8fd3079d51d5a160859aa62f6d53265f16cab58bb9ebf729e0f2db5c",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2016-10-19T13:07:31Z",
    "title_canon_sha256": "fabed7eeb92e0576e46effcc25a81229dfad9f62baaf9636c5e50ff958c3d38a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1610.06000",
    "kind": "arxiv",
    "version": 3
  }
}