Pith Number

pith:7MCWEPM7

pith:2010:7MCWEPM722JJYGIGOTE5VV5A45

not attested not anchored not stored refs pending

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

Sourav Chatterjee, S. R. S. Varadhan

arxiv:1008.1946 v3 · 2010-08-11 · 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{7MCWEPM722JJYGIGOTE5VV5A45}

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	2026-05-18T04:25:11.277991Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fb05623d9fd6929c190674c9dad7a0e76a4434a12c4c9185accdce701451b41d

Aliases

arxiv: 1008.1946 · arxiv_version: 1008.1946v3 · doi: 10.48550/arxiv.1008.1946 · pith_short_12: 7MCWEPM722JJ · pith_short_16: 7MCWEPM722JJYGIG · pith_short_8: 7MCWEPM7

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/7MCWEPM722JJYGIGOTE5VV5A45 \
  | 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: fb05623d9fd6929c190674c9dad7a0e76a4434a12c4c9185accdce701451b41d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bbe643d24877bfae519c778184daf1b050a7bd690e04a90df8169c1ce6589ddf",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2010-08-11T15:56:29Z",
    "title_canon_sha256": "0e633c68b1587bbd6006eb866641c984ee00c10d6470b97ed202450389309721"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1008.1946",
    "kind": "arxiv",
    "version": 3
  }
}