Pith Number

pith:X5WLUYMP

pith:2015:X5WLUYMP3UWSRXUND6UBMF5OVM

not attested not anchored not stored refs pending

Non-differentiability of the effective potential and the replica symmetry breaking in the random energy model

Hisamitsu Mukaida

arxiv:1510.02613 v2 · 2015-10-09 · 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{X5WLUYMP3UWSRXUND6UBMF5OVM}

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	2026-05-18T01:23:22.975737Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bf6cba618fdd2d28de8d1fa81617aeab062d5758ce17bf291127d831d9beb2bb

Aliases

arxiv: 1510.02613 · arxiv_version: 1510.02613v2 · doi: 10.48550/arxiv.1510.02613 · pith_short_12: X5WLUYMP3UWS · pith_short_16: X5WLUYMP3UWSRXUN · pith_short_8: X5WLUYMP

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/X5WLUYMP3UWSRXUND6UBMF5OVM \
  | 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: bf6cba618fdd2d28de8d1fa81617aeab062d5758ce17bf291127d831d9beb2bb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "510eea81a3dd31125befc23b5aea43fb9602733f49094a0096fe06f35e677653",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cond-mat.dis-nn",
    "submitted_at": "2015-10-09T10:10:34Z",
    "title_canon_sha256": "6de3aabcff2516732a96c7b94edf7edff94a430f5e7cb22cd05cf2d6628863d5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1510.02613",
    "kind": "arxiv",
    "version": 2
  }
}