Pith Number

pith:WAPQXCYX

pith:2026:WAPQXCYXUPGBC2ZXQV43RHVK36

not attested not anchored not stored refs pending

The Physics Behind Symmetrization

R. E. Kastner

arxiv:2606.22298 v1 · 2026-06-21 · quant-ph · physics.hist-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{WAPQXCYXUPGBC2ZXQV43RHVK36}

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.

Cited by

1 paper in Pith

The Physics Behind Symmetrization

Receipt and verification

First computed	2026-06-23T02:13:34.285006Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b01f0b8b17a3cc116b378579b89eaadfb6c2165e4e8b301d94820522ea5287f4

Aliases

arxiv: 2606.22298 · arxiv_version: 2606.22298v1 · doi: 10.48550/arxiv.2606.22298 · pith_short_12: WAPQXCYXUPGB · pith_short_16: WAPQXCYXUPGBC2ZX · pith_short_8: WAPQXCYX

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/WAPQXCYXUPGBC2ZXQV43RHVK36 \
  | 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: b01f0b8b17a3cc116b378579b89eaadfb6c2165e4e8b301d94820522ea5287f4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ff95b2700a31a8c35b1e691749dbaee2c92dd668df0b9a8a6dd4d4efee40f71e",
    "cross_cats_sorted": [
      "physics.hist-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2026-06-21T01:48:32Z",
    "title_canon_sha256": "ae637898946139054c14a8dc40ac09aa002f7e2a27c9665a0710ab527f7ad22c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.22298",
    "kind": "arxiv",
    "version": 1
  }
}