Pith Number

pith:2Q7YL44F

pith:2016:2Q7YL44F3X43QJ3R3AI45EKYRP

not attested not anchored not stored refs pending

Disorder relevance without Harris Criterion: the case of pinning model with $\gamma$-stable environment

Hubert Lacoin, Julien Sohier

arxiv:1610.06786 v1 · 2016-10-21 · 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{2Q7YL44F3X43QJ3R3AI45EKYRP}

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	2026-05-18T01:01:36.747492Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d43f85f385ddf9b82771d811ce91588bda977c32d7bad56b0eaafa3e4a08517d

Aliases

arxiv: 1610.06786 · arxiv_version: 1610.06786v1 · doi: 10.48550/arxiv.1610.06786 · pith_short_12: 2Q7YL44F3X43 · pith_short_16: 2Q7YL44F3X43QJ3R · pith_short_8: 2Q7YL44F

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/2Q7YL44F3X43QJ3R3AI45EKYRP \
  | 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: d43f85f385ddf9b82771d811ce91588bda977c32d7bad56b0eaafa3e4a08517d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cc1f49dafbc79f89e8198b28390bd2b02088dac38bcdf0eccba0474d0bc7d5a5",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2016-10-21T13:58:06Z",
    "title_canon_sha256": "f53c678d6593e66087dab2f32e371e3161a33d75d54eb8cfe8509b7093f8c206"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1610.06786",
    "kind": "arxiv",
    "version": 1
  }
}