Pith Number

pith:JIKTWT7T

pith:2020:JIKTWT7TTLU4XYL6UZ6VYO7ZVL

not attested not anchored not stored refs pending

Strong replica symmetry for high-dimensional disordered log-concave Gibbs measures

Dmitry Panchenko, Jean Barbier, Manuel S\'aenz

arxiv:2009.12939 v3 · 2020-09-27 · math.PR · cond-mat.dis-nn · cs.IT · cs.LG · math-ph · math.IT · 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{JIKTWT7TTLU4XYL6UZ6VYO7ZVL}

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.

Cited by

1 paper in Pith

Variational Bounds for Perceptron Learning from Structured Data

Receipt and verification

First computed	2026-07-05T05:27:15.316516Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4a153b4ff39ae9cbe17ea67d5c3bf9aaf165545fa79134950875700f205b83ff

Aliases

arxiv: 2009.12939 · arxiv_version: 2009.12939v3 · doi: 10.48550/arxiv.2009.12939 · pith_short_12: JIKTWT7TTLU4 · pith_short_16: JIKTWT7TTLU4XYL6 · pith_short_8: JIKTWT7T

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/JIKTWT7TTLU4XYL6UZ6VYO7ZVL \
  | 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: 4a153b4ff39ae9cbe17ea67d5c3bf9aaf165545fa79134950875700f205b83ff

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6b3ad652bdc250be78915c0eb7f87e98384b28d75f125aa3274d575a72224dc7",
    "cross_cats_sorted": [
      "cond-mat.dis-nn",
      "cs.IT",
      "cs.LG",
      "math-ph",
      "math.IT",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2020-09-27T20:24:58Z",
    "title_canon_sha256": "87845324572e1d41b3b1448e9d9259dcf810fe240561c2e37e96b1fd1920f5b0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2009.12939",
    "kind": "arxiv",
    "version": 3
  }
}