Pith Number

pith:MXSRCSJJ

pith:2015:MXSRCSJJ7WAGCILQQKHDNISL2D

not attested not anchored not stored refs pending

Pinning on a defect line: characterization of marginal disorder relevance and sharp asymptotics for the critical point shift

Hubert Lacoin, Quentin Berger

arxiv:1503.07315 v2 · 2015-03-25 · math-ph · math.MP · 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{MXSRCSJJ7WAGCILQQKHDNISL2D}

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	2026-05-18T01:21:32.343390Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

65e5114929fd80612170828e36a24bd0d9ab5202547129bdd97a0968d20158aa

Aliases

arxiv: 1503.07315 · arxiv_version: 1503.07315v2 · doi: 10.48550/arxiv.1503.07315 · pith_short_12: MXSRCSJJ7WAG · pith_short_16: MXSRCSJJ7WAGCILQ · pith_short_8: MXSRCSJJ

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/MXSRCSJJ7WAGCILQQKHDNISL2D \
  | 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: 65e5114929fd80612170828e36a24bd0d9ab5202547129bdd97a0968d20158aa

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bdb03a95f2af0d81e7f03f282b22bf135e4fb4ec3b3f8709a078dc612e54b59a",
    "cross_cats_sorted": [
      "math.MP",
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2015-03-25T09:49:08Z",
    "title_canon_sha256": "c7ffbba493606dac29d4ff649877434611669cb41c1633165c5ac5ba4778bcea"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1503.07315",
    "kind": "arxiv",
    "version": 2
  }
}