Pith Number

pith:R33QDROA

pith:2026:R33QDROA2EYHW45G5EZW6CCA42

not attested not anchored not stored refs pending

Dipole ghosts and spontaneous symmetry breaking in higher-order Chern-Simons theory

Angel Sanchez, Carlos M. Reyes, C\'esar Riquelme

arxiv:2607.05788 v1 · 2026-07-07 · hep-th · hep-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{R33QDROA2EYHW45G5EZW6CCA42}

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	2026-07-08T01:18:45.775574Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8ef701c5c0d1307b73a6e9336f0840e6afa69ac7de7affe4f3fb968e865c5f40

Aliases

arxiv: 2607.05788 · arxiv_version: 2607.05788v1 · doi: 10.48550/arxiv.2607.05788 · pith_short_12: R33QDROA2EYH · pith_short_16: R33QDROA2EYHW45G · pith_short_8: R33QDROA

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/R33QDROA2EYHW45G5EZW6CCA42 \
  | 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: 8ef701c5c0d1307b73a6e9336f0840e6afa69ac7de7affe4f3fb968e865c5f40

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "72808c385b34eadcfa56a63f67df3fb9be73a6aa81481265393555c32bbb53cf",
    "cross_cats_sorted": [
      "hep-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2026-07-07T03:30:56Z",
    "title_canon_sha256": "daac31fd7fa00560ae39fa83379f70795a7b87ea041c985f2bf497ba0d07fb6d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.05788",
    "kind": "arxiv",
    "version": 1
  }
}