Pith Number

pith:Y3PWHIXZ

pith:2022:Y3PWHIXZY6FY2IVYMCMFHMCQYP

not attested not anchored not stored refs pending

Kappa vacua: Infinite number of new vacua in two-dimensional quantum field theory

Arash Azizi

arxiv:2212.03781 v2 · 2022-12-07 · hep-th · 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{Y3PWHIXZY6FY2IVYMCMFHMCQYP}

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

Modulated Accelerating Mirrors as a Physical Realization of the Kappa-Gamma Vacuum

Receipt and verification

First computed	2026-07-05T05:37:56.378093Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c6df63a2f9c78b8d22b8609853b050c3c2a12d54960d49baa29a614c88807b83

Aliases

arxiv: 2212.03781 · arxiv_version: 2212.03781v2 · doi: 10.48550/arxiv.2212.03781 · pith_short_12: Y3PWHIXZY6FY · pith_short_16: Y3PWHIXZY6FY2IVY · pith_short_8: Y3PWHIXZ

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/Y3PWHIXZY6FY2IVYMCMFHMCQYP \
  | 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: c6df63a2f9c78b8d22b8609853b050c3c2a12d54960d49baa29a614c88807b83

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d7e3ae07dc7638cf24b978ab01bec6e691c3bc5ec261b60b284b05d04983bb49",
    "cross_cats_sorted": [
      "quant-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2022-12-07T17:01:45Z",
    "title_canon_sha256": "c292520b7be424dff6df89d61fd80475de996407faa019e32112b649b573c658"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2212.03781",
    "kind": "arxiv",
    "version": 2
  }
}