Pith Number

pith:M4IVHIBB

pith:2018:M4IVHIBBFXAZWK6KZNGS2OB2AM

not attested not anchored not stored refs pending

A large deviation principle for the Erd\H{o}s-R\'enyi uniform random graph

Amir Dembo, Eyal Lubetzky

arxiv:1804.11327 v1 · 2018-04-30 · 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{M4IVHIBBFXAZWK6KZNGS2OB2AM}

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	2026-05-18T00:17:13.979122Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

671153a0212dc19b2bcacb4d2d383a0326eeafb8a34020c76d24a8dc1b93d2a7

Aliases

arxiv: 1804.11327 · arxiv_version: 1804.11327v1 · doi: 10.48550/arxiv.1804.11327 · pith_short_12: M4IVHIBBFXAZ · pith_short_16: M4IVHIBBFXAZWK6K · pith_short_8: M4IVHIBB

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/M4IVHIBBFXAZWK6KZNGS2OB2AM \
  | 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: 671153a0212dc19b2bcacb4d2d383a0326eeafb8a34020c76d24a8dc1b93d2a7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "301b3cc22b96fda4d729c1604a2e373c2cd87cb2d43aabc77d1c1cdc5593806c",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2018-04-30T17:21:00Z",
    "title_canon_sha256": "6d593fdf6f34b40b83b28d0067e758102800df1be047d97a81a483f8e62c9070"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1804.11327",
    "kind": "arxiv",
    "version": 1
  }
}