Pith Number

pith:JRNJNNJA

pith:2006:JRNJNNJAQTJZPGE2NOKCC6D7VS

not attested not anchored not stored refs pending

Scaling limit for trap models on $\mathbb{Z}^d$

G\'erard Ben Arous, Ji\v{r}\'i \v{C}ern\'y

arxiv:math/0606719 v2 · 2006-06-28 · math.PR · math-ph · math.MP

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{JRNJNNJAQTJZPGE2NOKCC6D7VS}

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	2026-05-18T04:08:53.389883Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4c5a96b52084d397989a6b9421787fac872ca000ce2c814bc97ef6b5e5fc645a

Aliases

arxiv: math/0606719 · arxiv_version: math/0606719v2 · doi: 10.48550/arxiv.math/0606719 · pith_short_12: JRNJNNJAQTJZ · pith_short_16: JRNJNNJAQTJZPGE2 · pith_short_8: JRNJNNJA

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/JRNJNNJAQTJZPGE2NOKCC6D7VS \
  | 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: 4c5a96b52084d397989a6b9421787fac872ca000ce2c814bc97ef6b5e5fc645a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "98f24bc30598bfd819c1b8f65e852f31bb98b0e4e408e3540f0f6d664de68115",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "",
    "primary_cat": "math.PR",
    "submitted_at": "2006-06-28T12:59:46Z",
    "title_canon_sha256": "4f9cf6bbdcb47dff18f583ebfea9fc3b35210be609e3ef49770bf42c1010d675"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0606719",
    "kind": "arxiv",
    "version": 2
  }
}