Pith Number

pith:ZY4JDOYL

pith:2016:ZY4JDOYLAWTKJ7BRONYBEVZTER

not attested not anchored not stored refs pending

The Widom-Rowlinson model under spin flip: Immediate loss and sharp recovery of quasilocality

Benedikt Jahnel, Christof Kuelske

arxiv:1609.01328 v2 · 2016-09-05 · 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{ZY4JDOYLAWTKJ7BRONYBEVZTER}

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	2026-05-18T00:46:49.110425Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ce3891bb0b05a6a4fc317370125733245d39a2c0dc2a82734203b0cd3a0cd29f

Aliases

arxiv: 1609.01328 · arxiv_version: 1609.01328v2 · doi: 10.48550/arxiv.1609.01328 · pith_short_12: ZY4JDOYLAWTK · pith_short_16: ZY4JDOYLAWTKJ7BR · pith_short_8: ZY4JDOYL

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/ZY4JDOYLAWTKJ7BRONYBEVZTER \
  | 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: ce3891bb0b05a6a4fc317370125733245d39a2c0dc2a82734203b0cd3a0cd29f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "63eb3dbbeffc1097a312bcd3f07cf9e6951225ee2b89d407687fa78d604e99eb",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2016-09-05T21:09:56Z",
    "title_canon_sha256": "992ce812edda268536a01c2fba46fc5b8e69a50e8a1a7eda4e06ac9c44ee79a0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1609.01328",
    "kind": "arxiv",
    "version": 2
  }
}