Pith Number

pith:3MWAE5HO

pith:2026:3MWAE5HOKYCQAEPMPKNROHKJCC

not attested not anchored not stored refs pending

Spectral Signatures of Replica Symmetry Breaking in Optimization-Induced Random Matrices

Isaac P\'erez Castillo

arxiv:2607.10513 v1 · 2026-07-12 · 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{3MWAE5HOKYCQAEPMPKNROHKJCC}

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	2026-07-14T01:21:19.010475Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

db2c0274ee56050011ec7a9b171d49108ac38e2e45a65fefe67a1329f8b00a45

Aliases

arxiv: 2607.10513 · arxiv_version: 2607.10513v1 · doi: 10.48550/arxiv.2607.10513 · pith_short_12: 3MWAE5HOKYCQ · pith_short_16: 3MWAE5HOKYCQAEPM · pith_short_8: 3MWAE5HO

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/3MWAE5HOKYCQAEPMPKNROHKJCC \
  | 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: db2c0274ee56050011ec7a9b171d49108ac38e2e45a65fefe67a1329f8b00a45

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "177f5c72cbaa3c6f18f1aa606cf1a6d7b577f15c11718f3cf7b471a053cd1d4d",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "cond-mat.dis-nn",
    "submitted_at": "2026-07-12T00:10:59Z",
    "title_canon_sha256": "f94bd5b883f59d00297fd6166c16635fafaacd229313a299b24a55f05a6f626b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.10513",
    "kind": "arxiv",
    "version": 1
  }
}