Pith Number

pith:OX33YL3E

pith:2026:OX33YL3EZLSZZOVA6S2WA6EI3H

not attested not anchored not stored refs pending

Rare Events Govern Defect Formation under Weak Symmetry Breaking

Jiang Liu, Matteo Baggioli, Peng Yang

arxiv:2606.27835 v1 · 2026-06-26 · cond-mat.stat-mech

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{OX33YL3EZLSZZOVA6S2WA6EI3H}

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	2026-06-29T01:14:49.914942Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

75f7bc2f64cae59cbaa0f4b5607888d9e4c119c10bd3fa61b4fc850a6a76a2c1

Aliases

arxiv: 2606.27835 · arxiv_version: 2606.27835v1 · doi: 10.48550/arxiv.2606.27835 · pith_short_12: OX33YL3EZLSZ · pith_short_16: OX33YL3EZLSZZOVA · pith_short_8: OX33YL3E

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/OX33YL3EZLSZZOVA6S2WA6EI3H \
  | 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: 75f7bc2f64cae59cbaa0f4b5607888d9e4c119c10bd3fa61b4fc850a6a76a2c1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e537ec851a54948c308f11d3f9010c79e338bb17fc375357fbc1807fc3397214",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "cond-mat.stat-mech",
    "submitted_at": "2026-06-26T08:20:03Z",
    "title_canon_sha256": "e0632aea3e83c31f2f7ecee75f57e02ed80535d327af11638375f81c761b0fa7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.27835",
    "kind": "arxiv",
    "version": 1
  }
}