Pith Number

pith:V5UUIQ5O

pith:2026:V5UUIQ5OO5EEWNH6SPU76PH46T

not attested not anchored not stored refs pending

Emergent Gauge Symmetries in Particle Physics and Cosmology

Steven D. Bass

arxiv:2606.19403 v1 · 2026-06-17 · hep-ph · astro-ph.CO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{V5UUIQ5OO5EEWNH6SPU76PH46T}

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	2026-06-19T16:12:24.722729Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

af694443ae77484b34fe93e9ff3cfcf4ff3369783fd36930a0a308c7300aa6a4

Aliases

arxiv: 2606.19403 · arxiv_version: 2606.19403v1 · doi: 10.48550/arxiv.2606.19403 · pith_short_12: V5UUIQ5OO5EE · pith_short_16: V5UUIQ5OO5EEWNH6 · pith_short_8: V5UUIQ5O

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/V5UUIQ5OO5EEWNH6SPU76PH46T \
  | 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: af694443ae77484b34fe93e9ff3cfcf4ff3369783fd36930a0a308c7300aa6a4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f43f385cfe74d09657e1573b6e96a439c0e0c2a8f9a060dada7d7c14f610e022",
    "cross_cats_sorted": [
      "astro-ph.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-ph",
    "submitted_at": "2026-06-17T11:37:59Z",
    "title_canon_sha256": "21a1386c1697c2f16c4fa8a167063b93e6be9205eb77bf2d1e53f91607d2940c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.19403",
    "kind": "arxiv",
    "version": 1
  }
}