Pith Number

pith:BITSU4DV

pith:2006:BITSU4DVCD54ZL7NRPCXVUNQXZ

not attested not anchored not stored refs pending

Large deviation principles for empirical measures of colored random graphs

Kwabena Doku-Amponsah, Peter M\"orters

arxiv:math/0607545 v2 · 2006-07-21 · 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{BITSU4DVCD54ZL7NRPCXVUNQXZ}

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	2026-05-18T01:08:49.891862Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0a272a707510fbccafed8bc57ad1b0be67f2d0fb96f8c0aac0026ba421757954

Aliases

arxiv: math/0607545 · arxiv_version: math/0607545v2 · doi: 10.48550/arxiv.math/0607545 · pith_short_12: BITSU4DVCD54 · pith_short_16: BITSU4DVCD54ZL7N · pith_short_8: BITSU4DV

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/BITSU4DVCD54ZL7NRPCXVUNQXZ \
  | 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: 0a272a707510fbccafed8bc57ad1b0be67f2d0fb96f8c0aac0026ba421757954

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5e0c9d9989746c9e06fd952ef5aaa26981a010ed9fd05c2106a2851b52774b4c",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2006-07-21T15:53:36Z",
    "title_canon_sha256": "10f2090c0ae59aa540749b79a1ac549a9117b56c2b1715d415dfab37ae7443a3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0607545",
    "kind": "arxiv",
    "version": 2
  }
}