Pith Number

pith:OPGQCY25

pith:1996:OPGQCY25NRD24VBM22QRRH4VSC

not attested not anchored not stored refs pending

Phonons as Goldstone Bosons

CERN), H. Leutwyler (University of Bern

arxiv:hep-ph/9609466 v1 · 1996-09-25 · 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{OPGQCY25NRD24VBM22QRRH4VSC}

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.

Cited by

4 papers in Pith

Effective Field Theories for Material Media

Minimal superfluid vortices in chiral perturbation theory

Spontaneous symmetry breaking and Goldstone modes for deep information propagation

A flat-band perspective on the boson peak in amorphous solids

Receipt and verification

First computed	2026-07-04T14:30:03.541063Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

73cd01635d6c47ae542cd6a1189f9590943cec13eb27d3ec03c9f8736ad89901

Aliases

arxiv: hep-ph/9609466 · arxiv_version: hep-ph/9609466v1 · doi: 10.48550/arxiv.hep-ph/9609466 · pith_short_12: OPGQCY25NRD2 · pith_short_16: OPGQCY25NRD24VBM · pith_short_8: OPGQCY25

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/OPGQCY25NRD24VBM22QRRH4VSC \
  | 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: 73cd01635d6c47ae542cd6a1189f9590943cec13eb27d3ec03c9f8736ad89901

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "447f317259a3cea642a51fca1d4d15bfe2fe2d163e321077402bd92ef1d86776",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "hep-ph",
    "submitted_at": "1996-09-25T10:04:18Z",
    "title_canon_sha256": "1aebec46cd02a6d25c422bed644ebf246780f7abd8e678e9e68fa4ffadb8e865"
  },
  "schema_version": "1.0",
  "source": {
    "id": "hep-ph/9609466",
    "kind": "arxiv",
    "version": 1
  }
}