Pith Number

pith:O4BAXCV4

pith:2016:O4BAXCV4YQBXDE4U5P3TLFFXW6

not attested not anchored not stored refs pending

One step replica symmetry breaking and extreme order statistics of logarithmic REMs

Pierre Le Doussal, Xiangyu Cao, Yan V. Fyodorov

arxiv:1610.02226 v1 · 2016-10-07 · cond-mat.stat-mech · cond-mat.dis-nn · 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{O4BAXCV4YQBXDE4U5P3TLFFXW6}

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	2026-05-18T00:54:47.292403Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

77020b8abcc403719394ebf73594b7b7bb151a06db13b3450d32a1461167a697

Aliases

arxiv: 1610.02226 · arxiv_version: 1610.02226v1 · doi: 10.48550/arxiv.1610.02226 · pith_short_12: O4BAXCV4YQBX · pith_short_16: O4BAXCV4YQBXDE4U · pith_short_8: O4BAXCV4

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/O4BAXCV4YQBXDE4U5P3TLFFXW6 \
  | 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: 77020b8abcc403719394ebf73594b7b7bb151a06db13b3450d32a1461167a697

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "00081bbc47e0c517c0800bb8413c61c05679e25309956eb53f9314064a20176f",
    "cross_cats_sorted": [
      "cond-mat.dis-nn",
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cond-mat.stat-mech",
    "submitted_at": "2016-10-07T11:05:03Z",
    "title_canon_sha256": "e8dd7d197f08e5aa56db8d7dffa4899f981614694aac9e19a85e64f6a17cdd8c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1610.02226",
    "kind": "arxiv",
    "version": 1
  }
}