Pith Number

pith:SVZCNI5E

pith:2016:SVZCNI5EUM73DCYMUWNLUJACYD

not attested not anchored not stored refs pending

A phase transition regarding the evolution of bootstrap processes in inhomogeneous random graphs

Christoph Koch, Mihyun Kang, Nikolaos Fountoulakis, Tam\'as Makai

arxiv:1609.08892 v2 · 2016-09-28 · 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{SVZCNI5EUM73DCYMUWNLUJACYD}

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	2026-05-18T00:49:42.071479Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

957226a3a4a33fb18b0ca59aba2402c0cb460c88b96ba523d878f1fdce63365d

Aliases

arxiv: 1609.08892 · arxiv_version: 1609.08892v2 · doi: 10.48550/arxiv.1609.08892 · pith_short_12: SVZCNI5EUM73 · pith_short_16: SVZCNI5EUM73DCYM · pith_short_8: SVZCNI5E

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/SVZCNI5EUM73DCYMUWNLUJACYD \
  | 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: 957226a3a4a33fb18b0ca59aba2402c0cb460c88b96ba523d878f1fdce63365d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7d8ae8bd60a0f5e4dcf1bd97da1d631517c7c8ad408f2a9dbf9719ad7abeec3f",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2016-09-28T12:46:29Z",
    "title_canon_sha256": "b737b633286054d271a2bc1b9804ff9051ec39b7522eafb2cff067b238bbe81a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1609.08892",
    "kind": "arxiv",
    "version": 2
  }
}