Pith Number

pith:4OT5H6JA

pith:2026:4OT5H6JARSWEMIPYPRVFTWSBLQ

not attested not anchored not stored refs pending

Local diagnostics for strong-to-weak spontaneous symmetry breaking and non-equilibrium phase transitions

Carolyn Zhang

arxiv:2605.29113 v1 · 2026-05-27 · quant-ph · cond-mat.stat-mech · cond-mat.str-el

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{4OT5H6JARSWEMIPYPRVFTWSBLQ}

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	2026-05-29T01:05:18.884959Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e3a7d3f9208cac4621f87c6a59da415c3f2412b23ac3b73b2a273e31c9d74585

Aliases

arxiv: 2605.29113 · arxiv_version: 2605.29113v1 · doi: 10.48550/arxiv.2605.29113 · pith_short_12: 4OT5H6JARSWE · pith_short_16: 4OT5H6JARSWEMIPY · pith_short_8: 4OT5H6JA

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/4OT5H6JARSWEMIPYPRVFTWSBLQ \
  | 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: e3a7d3f9208cac4621f87c6a59da415c3f2412b23ac3b73b2a273e31c9d74585

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "12d8a1c3c611dd5551f0c6109d7e93d7a1de9a9bc8cdb3878a7c8dd4269e9799",
    "cross_cats_sorted": [
      "cond-mat.stat-mech",
      "cond-mat.str-el"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2026-05-27T21:20:59Z",
    "title_canon_sha256": "215f0a92684ec8d65f00377d45f78f343effb0c60b65a4ce6dbf2ddd18e534c3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2605.29113",
    "kind": "arxiv",
    "version": 1
  }
}