Pith Number

pith:4FCOXGN3

pith:2017:4FCOXGN376TL4VOKWSFIIVIEMR

not attested not anchored not stored refs pending

Phase transition for continuum Widom-Rowlinson model with random radii

David Dereudre, Pierre Houdebert

arxiv:1712.01729 v3 · 2017-12-05 · 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{4FCOXGN376TL4VOKWSFIIVIEMR}

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	2026-05-18T00:00:59.702264Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e144eb99bbffa6be55cab48a84550464626e27442b88d2ae5a65fb262b03b332

Aliases

arxiv: 1712.01729 · arxiv_version: 1712.01729v3 · doi: 10.48550/arxiv.1712.01729 · pith_short_12: 4FCOXGN376TL · pith_short_16: 4FCOXGN376TL4VOK · pith_short_8: 4FCOXGN3

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/4FCOXGN376TL4VOKWSFIIVIEMR \
  | 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: e144eb99bbffa6be55cab48a84550464626e27442b88d2ae5a65fb262b03b332

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "58e7404b02cb5e1ce2950e489f797be52734845336ecfac3ac803a05a0a90c2b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2017-12-05T16:05:43Z",
    "title_canon_sha256": "98f80e7622e558afcb60d67a233e36ab64126fc6df0ea0c44d1fe156211cded4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1712.01729",
    "kind": "arxiv",
    "version": 3
  }
}