Pith Number

pith:4Q4ECPLR

pith:2016:4Q4ECPLRI2ZZYKJGWLGHTZZOAX

not attested not anchored not stored refs pending

Mixing times of random walks on dynamic configuration models

Frank den Hollander, Hakan Guldas, Luca Avena, Remco van der Hofstad

arxiv:1606.07639 v3 · 2016-06-24 · math.PR

Open paper page JSON Open Graph Bundle Merged state What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{4Q4ECPLRI2ZZYKJGWLGHTZZOAX}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more

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	2026-05-18T00:26:08.727519Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e438413d7146b39c2926b2cc79e72e05c881271de16c070e237826ac7438bd80

Aliases

arxiv: 1606.07639 · arxiv_version: 1606.07639v3 · doi: 10.48550/arxiv.1606.07639 · pith_short_12: 4Q4ECPLRI2ZZ · pith_short_16: 4Q4ECPLRI2ZZYKJG · pith_short_8: 4Q4ECPLR

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/4Q4ECPLRI2ZZYKJGWLGHTZZOAX \
  | 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: e438413d7146b39c2926b2cc79e72e05c881271de16c070e237826ac7438bd80

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2619e154931d9f0b62e54c8067af96bc92d1802cb614358e57d4bc160221293f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2016-06-24T10:58:43Z",
    "title_canon_sha256": "4ba313c6b65d6fd6f5ee678c1c8f0bc3e9bd56f6d892a1e28a778f5f2bc7a763"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1606.07639",
    "kind": "arxiv",
    "version": 3
  }
}