Pith Number

pith:YXJZZSQH

pith:2026:YXJZZSQHASZU2KZZXJ3HPF3DDI

not attested not anchored not stored refs pending

Asymmetry dynamics and nonequilibrium symmetry-breaking phase transitions

Colin Rylands, Federico Carollo, Liv Hammer

arxiv:2606.07188 v1 · 2026-06-05 · cond-mat.stat-mech · quant-ph

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{YXJZZSQHASZU2KZZXJ3HPF3DDI}

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	2026-06-08T01:04:51.663612Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c5d39cca0704b34d2b39ba767797631a0a299dbfcc3289cac89a3d05ed6492a1

Aliases

arxiv: 2606.07188 · arxiv_version: 2606.07188v1 · doi: 10.48550/arxiv.2606.07188 · pith_short_12: YXJZZSQHASZU · pith_short_16: YXJZZSQHASZU2KZZ · pith_short_8: YXJZZSQH

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/YXJZZSQHASZU2KZZXJ3HPF3DDI \
  | 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: c5d39cca0704b34d2b39ba767797631a0a299dbfcc3289cac89a3d05ed6492a1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "18a79d332d713ad6c9e7e9a2eeb8eb1e1b90722a748321a0a57e51a7fe4e0c1b",
    "cross_cats_sorted": [
      "quant-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cond-mat.stat-mech",
    "submitted_at": "2026-06-05T11:56:16Z",
    "title_canon_sha256": "4b2c695be4ca184bf3ce9d79f5513b49bcb82f2b8a0f3f9b570ace154079fc9d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.07188",
    "kind": "arxiv",
    "version": 1
  }
}