Pith Number

pith:UGIBHIAT

pith:2016:UGIBHIATFOXXAXAASRRJ5PMYQN

not attested not anchored not stored refs pending

Percolation results for the Continuum Random Cluster Model

Pierre Houdebert

arxiv:1610.07391 v2 · 2016-10-24 · 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{UGIBHIATFOXXAXAASRRJ5PMYQN}

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	2026-05-18T00:43:01.972986Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a19013a0132baf705c0094629ebd9883615883f4d4815aa2284a7fd461e2bb6b

Aliases

arxiv: 1610.07391 · arxiv_version: 1610.07391v2 · doi: 10.48550/arxiv.1610.07391 · pith_short_12: UGIBHIATFOXX · pith_short_16: UGIBHIATFOXXAXAA · pith_short_8: UGIBHIAT

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/UGIBHIATFOXXAXAASRRJ5PMYQN \
  | 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: a19013a0132baf705c0094629ebd9883615883f4d4815aa2284a7fd461e2bb6b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5c09f9a9a011b01161101bd63e01c5bf5b6cb3a4847adcb7b4465658ba122349",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2016-10-24T12:50:28Z",
    "title_canon_sha256": "c9892105dbbfc3274931edbf9e16e1714a655188995930454b287ed406030af2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1610.07391",
    "kind": "arxiv",
    "version": 2
  }
}