Pith Number

pith:W423GXWF

pith:2018:W423GXWFQTV55LWUBYLRZXONQB

not attested not anchored not stored refs pending

Cutoff for the mean-field zero-range process

Justin Salez, Mathieu Merle

arxiv:1804.04608 v1 · 2018-04-12 · 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{W423GXWFQTV55LWUBYLRZXONQB}

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	2026-05-18T00:18:36.788067Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b735b35ec584ebdeaed40e171cddcd8060664ca04f7bfa26d257a1fb73e49351

Aliases

arxiv: 1804.04608 · arxiv_version: 1804.04608v1 · doi: 10.48550/arxiv.1804.04608 · pith_short_12: W423GXWFQTV5 · pith_short_16: W423GXWFQTV55LWU · pith_short_8: W423GXWF

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/W423GXWFQTV55LWUBYLRZXONQB \
  | 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: b735b35ec584ebdeaed40e171cddcd8060664ca04f7bfa26d257a1fb73e49351

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "81977b3b0944a6377a5ffc206faa0e41c65b1fc59cdb54d09715bc1ff93e22b7",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2018-04-12T16:18:12Z",
    "title_canon_sha256": "be7fa70c3a1d0c1ae0e7b6c6e3290d757b05ebe79a034d0b688ebdc5ecd70afe"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1804.04608",
    "kind": "arxiv",
    "version": 1
  }
}