Pith Number

pith:ZIUQC3YK

pith:2016:ZIUQC3YKBNQVOBPW6OVWAP5HT5

not attested not anchored not stored refs pending

Nambu-Goldstone modes in the random phase approximation

Kai Neerg{\aa}rd

arxiv:1606.02216 v6 · 2016-06-07 · nucl-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{ZIUQC3YKBNQVOBPW6OVWAP5HT5}

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	2026-05-18T01:02:12.673747Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ca29016f0a0b615705f6f3ab603fa79f5504fa06a79e40cbad17099b45865fc6

Aliases

arxiv: 1606.02216 · arxiv_version: 1606.02216v6 · doi: 10.48550/arxiv.1606.02216 · pith_short_12: ZIUQC3YKBNQV · pith_short_16: ZIUQC3YKBNQVOBPW · pith_short_8: ZIUQC3YK

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/ZIUQC3YKBNQVOBPW6OVWAP5HT5 \
  | 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: ca29016f0a0b615705f6f3ab603fa79f5504fa06a79e40cbad17099b45865fc6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "17c82b3a84e1dc3b303c6430c0c9d49940849080145d3e1c286f599dd8d06c9a",
    "cross_cats_sorted": [
      "quant-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "nucl-th",
    "submitted_at": "2016-06-07T17:05:26Z",
    "title_canon_sha256": "c7ba2b9a25cc8d617a254bf7fab11e8d21eb8de9837454f650efab5705407e86"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1606.02216",
    "kind": "arxiv",
    "version": 6
  }
}