Pith Number

pith:RWLUW2G5

pith:2016:RWLUW2G5DUDWWLZCUJIGDCW2KB

not attested not anchored not stored refs pending

Absence of percolation for Poisson outdegree-one graphs

David Coupier, David Dereudre, Simon Le Stum

arxiv:1610.01938 v3 · 2016-10-06 · 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{RWLUW2G5DUDWWLZCUJIGDCW2KB}

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	2026-05-17T23:47:12.930023Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8d974b68dd1d076b2f22a250618ada50787f9f5fd474205be5a24bff8f49c240

Aliases

arxiv: 1610.01938 · arxiv_version: 1610.01938v3 · doi: 10.48550/arxiv.1610.01938 · pith_short_12: RWLUW2G5DUDW · pith_short_16: RWLUW2G5DUDWWLZC · pith_short_8: RWLUW2G5

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/RWLUW2G5DUDWWLZCUJIGDCW2KB \
  | 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: 8d974b68dd1d076b2f22a250618ada50787f9f5fd474205be5a24bff8f49c240

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a6a0f9eca4e18b76fb1cf2530d34bb04a97762c4593536b76e08a634b146edb2",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2016-10-06T16:30:01Z",
    "title_canon_sha256": "2fc65599b5cd692cd1a670f8ae6106f2ffed7658ff596f50302de0490cf1b17f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1610.01938",
    "kind": "arxiv",
    "version": 3
  }
}