Pith Number

pith:WLHNBUHB

pith:2025:WLHNBUHBW3FQ56HAXDRDMNS2WM

not attested not anchored not stored refs pending

Exceptional, but Separate: Precursors to Spontaneous Symmetry Breaking

Alekhya Ghosh, Flore K. Kunst, Jacob Fauman, Julius T. Gohsrich, Lewis Hill, Pascal Del'Haye

arxiv:2505.02691 v1 · 2025-05-05 · physics.optics · math-ph · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{WLHNBUHBW3FQ56HAXDRDMNS2WM}

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	2026-07-05T10:58:41.318391Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b2ced0d0e1b6cb0ef8e0b8e236365ab326544dabe46929dafcaed399f562c94a

Aliases

arxiv: 2505.02691 · arxiv_version: 2505.02691v1 · doi: 10.48550/arxiv.2505.02691 · pith_short_12: WLHNBUHBW3FQ · pith_short_16: WLHNBUHBW3FQ56HA · pith_short_8: WLHNBUHB

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/WLHNBUHBW3FQ56HAXDRDMNS2WM \
  | 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: b2ced0d0e1b6cb0ef8e0b8e236365ab326544dabe46929dafcaed399f562c94a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "882a86386544733197b7ae7e4c4efce25fc8b480d909d278a059e11fadd93a36",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "physics.optics",
    "submitted_at": "2025-05-05T14:41:35Z",
    "title_canon_sha256": "a33c76d4d8d16b57aa6782200ffa1f4ba676304ddcee0b65621d98f605a5d1d7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2505.02691",
    "kind": "arxiv",
    "version": 1
  }
}