Pith Number

pith:HGCHZZR5

pith:2011:HGCHZZR5RJLX6YAJRBZKUPLQGZ

not attested not anchored not stored refs pending

On the number of Nambu-Goldstone bosons and its relation to charge densities

Haruki Watanabe, Tomas Brauner

arxiv:1109.6327 v2 · 2011-09-28 · hep-ph · cond-mat.quant-gas · cond-mat.supr-con · 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{HGCHZZR5RJLX6YAJRBZKUPLQGZ}

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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

Spontaneous symmetry breaking on graphs and lattices

Receipt and verification

First computed	2026-05-18T04:06:44.660280Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

39847ce63d8a577f60098872aa3d70365f2eb820867f4192394138f12da135b6

Aliases

arxiv: 1109.6327 · arxiv_version: 1109.6327v2 · doi: 10.48550/arxiv.1109.6327 · pith_short_12: HGCHZZR5RJLX · pith_short_16: HGCHZZR5RJLX6YAJ · pith_short_8: HGCHZZR5

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/HGCHZZR5RJLX6YAJRBZKUPLQGZ \
  | 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: 39847ce63d8a577f60098872aa3d70365f2eb820867f4192394138f12da135b6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6868ef547124ef3c8fa675148bc356d1c9944f8975b7c6700a96bf582f210f4f",
    "cross_cats_sorted": [
      "cond-mat.quant-gas",
      "cond-mat.supr-con",
      "hep-th",
      "quant-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-ph",
    "submitted_at": "2011-09-28T20:00:08Z",
    "title_canon_sha256": "92b4afec974b44f361a0c8e873f98cc8719f101b65881501f1a229ddaa3f17b6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1109.6327",
    "kind": "arxiv",
    "version": 2
  }
}