Pith Number

pith:4AWOC6OS

pith:2019:4AWOC6OSK6JIMEWUECOZI7CN7U

not attested not anchored not stored refs pending

Monotonicity and phase transition for the VRJP and the ERRW

R\'emy Poudevigne

arxiv:1911.02181 v1 · 2019-11-06 · 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{4AWOC6OSK6JIMEWUECOZI7CN7U}

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	2026-07-05T00:17:31.426052Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e02ce179d257928612d4209d947c4dfd3afaa08355d6cadc470ee8d37ae31ec7

Aliases

arxiv: 1911.02181 · arxiv_version: 1911.02181v1 · doi: 10.48550/arxiv.1911.02181 · pith_short_12: 4AWOC6OSK6JI · pith_short_16: 4AWOC6OSK6JIMEWU · pith_short_8: 4AWOC6OS

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/4AWOC6OSK6JIMEWUECOZI7CN7U \
  | 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: e02ce179d257928612d4209d947c4dfd3afaa08355d6cadc470ee8d37ae31ec7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "779bbe7a56c49d593361e4575a786558e4e341fe957027bc042c6a5379faa03b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2019-11-06T03:25:22Z",
    "title_canon_sha256": "e5aea29e13ee1223fb67ce4a2ebc6814f0df2d3f699357b7ac8d35aa0976cec6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1911.02181",
    "kind": "arxiv",
    "version": 1
  }
}