Pith Number

pith:5MXIJ2SK

pith:2016:5MXIJ2SKIV54GO6IQEA4WBVTOQ

not attested not anchored not stored refs pending

Component structure of the configuration model: barely supercritical case

Malwina Luczak, Remco van der Hofstad, Svante Janson

arxiv:1611.05728 v1 · 2016-11-17 · 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{5MXIJ2SKIV54GO6IQEA4WBVTOQ}

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	2026-05-18T00:58:02.776329Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

eb2e84ea4a457bc33bc88101cb06b37408d720f6d568aa176e963f1b2a9db1e2

Aliases

arxiv: 1611.05728 · arxiv_version: 1611.05728v1 · doi: 10.48550/arxiv.1611.05728 · pith_short_12: 5MXIJ2SKIV54 · pith_short_16: 5MXIJ2SKIV54GO6I · pith_short_8: 5MXIJ2SK

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/5MXIJ2SKIV54GO6IQEA4WBVTOQ \
  | 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: eb2e84ea4a457bc33bc88101cb06b37408d720f6d568aa176e963f1b2a9db1e2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d9e77e6194cc910554e724ce375dcd24817f1a062546f90bd216056c444a3e2d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2016-11-17T15:11:00Z",
    "title_canon_sha256": "bbf893079b7545de26c3c9a2e4cebc3e334d20b7019e23755efa36b273d18872"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1611.05728",
    "kind": "arxiv",
    "version": 1
  }
}