Pith Number

pith:3RXULVCB

pith:2018:3RXULVCBDI4GGKJES5J5CBQFE6

not attested not anchored not stored refs pending

Spontaneous symmetry breaking and the Goldstone theorem in non-Hermitian field theories

Dries Seynaeve, Jean Alexandre, John Ellis, Peter Millington

arxiv:1805.06380 v2 · 2018-05-16 · hep-th · hep-ph · 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{3RXULVCBDI4GGKJES5J5CBQFE6}

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	2026-05-18T00:09:09.226827Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

dc6f45d4411a386329249753d106052799a10ba9089f1c412fbcc17816741d73

Aliases

arxiv: 1805.06380 · arxiv_version: 1805.06380v2 · doi: 10.48550/arxiv.1805.06380 · pith_short_12: 3RXULVCBDI4G · pith_short_16: 3RXULVCBDI4GGKJE · pith_short_8: 3RXULVCB

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/3RXULVCBDI4GGKJES5J5CBQFE6 \
  | 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: dc6f45d4411a386329249753d106052799a10ba9089f1c412fbcc17816741d73

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "14ab828bc7021cb97356657eebcea402fd5f90425ea06c846af8102fe80ed12d",
    "cross_cats_sorted": [
      "hep-ph",
      "quant-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2018-05-16T15:51:09Z",
    "title_canon_sha256": "9a85ab4b58ce759e5c058f4345b2520e56eee93ae31530c0406c90d0a11d14ae"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1805.06380",
    "kind": "arxiv",
    "version": 2
  }
}