Pith Number

pith:KJCOZT7D

pith:2026:KJCOZT7D64PNEQCTR36SB3OO7Y

not attested not anchored not stored refs pending

Preserving Symmetry: Spontaneous Symmetry Breaking through Decoherence

Sam Kuypers

arxiv:2608.03736 v1 · 2026-08-04 · 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{KJCOZT7D64PNEQCTR36SB3OO7Y}

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	2026-08-05T01:36:59.308066Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5244eccfe3f71ed240538efd20edcefe2f69d12893d9d8698dd6180a7692a64e

Aliases

arxiv: 2608.03736 · arxiv_version: 2608.03736v1 · doi: 10.48550/arxiv.2608.03736 · pith_short_12: KJCOZT7D64PN · pith_short_16: KJCOZT7D64PNEQCT · pith_short_8: KJCOZT7D

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/KJCOZT7D64PNEQCTR36SB3OO7Y \
  | 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: 5244eccfe3f71ed240538efd20edcefe2f69d12893d9d8698dd6180a7692a64e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a9e4b32cf889d6f0d79dd1cd21b25c71ee02d688975e9ab433fe530b513ee56f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2026-08-04T14:30:28Z",
    "title_canon_sha256": "c76506abcfa55e47b03afb674fc4b9e8827fb0b8c9e0851ae0be5edb384c0ee7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2608.03736",
    "kind": "arxiv",
    "version": 1
  }
}