Pith Number

pith:2L7B4SLF

pith:2012:2L7B4SLFRPCUXHYCN462FUXW5B

not attested not anchored not stored refs pending

Continuous replica-symmetry breaking in mean-field spin-glass models: Perturbation expansion without the replica trick

A. Kauch, A. Klic, V. Janis

arxiv:1211.1807 v1 · 2012-11-08 · cond-mat.dis-nn

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{2L7B4SLFRPCUXHYCN462FUXW5B}

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	2026-05-18T03:29:50.681480Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d2fe1e49658bc54b9f026f3da2d2f6e85ec3b73dba34413473a756fe56d746ad

Aliases

arxiv: 1211.1807 · arxiv_version: 1211.1807v1 · doi: 10.48550/arxiv.1211.1807 · pith_short_12: 2L7B4SLFRPCU · pith_short_16: 2L7B4SLFRPCUXHYC · pith_short_8: 2L7B4SLF

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/2L7B4SLFRPCUXHYCN462FUXW5B \
  | 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: d2fe1e49658bc54b9f026f3da2d2f6e85ec3b73dba34413473a756fe56d746ad

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "de7f4b822867cc37ac101ae021dbb3a41504b1bf0bf7107ea348affa47ecf32d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cond-mat.dis-nn",
    "submitted_at": "2012-11-08T09:50:59Z",
    "title_canon_sha256": "64ee1d35b1b1348c93cde24b88df7bd639e0b16ba4b75b87093fad64ab6d0df1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1211.1807",
    "kind": "arxiv",
    "version": 1
  }
}