Pith Number

pith:ML4DKMQW

pith:2017:ML4DKMQWXQSDOLIY7QFXXCKYK6

not attested not anchored not stored refs pending

Nambu-Goldstone bosons characterized by the order parameter in spontaneous symmetry breaking

Takashi Yanagisawa

arxiv:1710.08840 v1 · 2017-10-23 · hep-th

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ML4DKMQWXQSDOLIY7QFXXCKYK6}

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	2026-05-18T00:32:03.670796Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

62f8353216bc24372d18fc0b7b89585789b39b70b6801e67a50316f52308ec36

Aliases

arxiv: 1710.08840 · arxiv_version: 1710.08840v1 · doi: 10.48550/arxiv.1710.08840 · pith_short_12: ML4DKMQWXQSD · pith_short_16: ML4DKMQWXQSDOLIY · pith_short_8: ML4DKMQW

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/ML4DKMQWXQSDOLIY7QFXXCKYK6 \
  | 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: 62f8353216bc24372d18fc0b7b89585789b39b70b6801e67a50316f52308ec36

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c51ecc34dea39583e3107e4d7d15f0d6fe2c1a72419d862eed461f33299d400b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2017-10-23T16:10:59Z",
    "title_canon_sha256": "609653fb41b0b4d2b7d475c8d95861ff9eb2d8807029568e02c3f88d40225d2d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1710.08840",
    "kind": "arxiv",
    "version": 1
  }
}