Pith Number

pith:6FDRU5DJ

pith:2013:6FDRU5DJBKZQJKCCD7FFCYHR7Y

not attested not anchored not stored refs pending

Large deviations of empirical neighborhood distribution in sparse random graphs

Charles Bordenave, Pietro Caputo

arxiv:1308.5725 v2 · 2013-08-27 · 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{6FDRU5DJBKZQJKCCD7FFCYHR7Y}

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	2026-05-18T01:17:33.632351Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f1471a74690ab304a8421fca5160f1fe0af039a1ba25a92daa8e167dde3b9dd8

Aliases

arxiv: 1308.5725 · arxiv_version: 1308.5725v2 · doi: 10.48550/arxiv.1308.5725 · pith_short_12: 6FDRU5DJBKZQ · pith_short_16: 6FDRU5DJBKZQJKCC · pith_short_8: 6FDRU5DJ

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/6FDRU5DJBKZQJKCCD7FFCYHR7Y \
  | 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: f1471a74690ab304a8421fca5160f1fe0af039a1ba25a92daa8e167dde3b9dd8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d8bd72fe12d2b0cea133f332c12864c7bc5fa672b212c34ddaa94ffa136dda38",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2013-08-27T00:38:50Z",
    "title_canon_sha256": "c39051a0fa6a74834fa4d16133a7ddf1f5189cc053c4507263b9d72b1be168d0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1308.5725",
    "kind": "arxiv",
    "version": 2
  }
}