Pith Number

pith:NKQJH4Q5

pith:2001:NKQJH4Q5JNA7DVHR47BA27JHDD

not attested not anchored not stored refs pending

Spontaneous Symmetry Broken Condition in (De)Constructing Dimensions from Noncommutative Geometry

Jian Dai, Xing-Chang SONG (Peking University)

arxiv:hep-ph/0105280 v2 · 2001-05-27 · hep-ph · hep-lat · 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{NKQJH4Q5JNA7DVHR47BA27JHDD}

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	2026-05-18T00:37:13.176640Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6aa093f21d4b41f1d4f1e7c20d7d2718dd087860c2a7cd9ca6f446656d7617fe

Aliases

arxiv: hep-ph/0105280 · arxiv_version: hep-ph/0105280v2 · doi: 10.48550/arxiv.hep-ph/0105280 · pith_short_12: NKQJH4Q5JNA7 · pith_short_16: NKQJH4Q5JNA7DVHR · pith_short_8: NKQJH4Q5

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/NKQJH4Q5JNA7DVHR47BA27JHDD \
  | 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: 6aa093f21d4b41f1d4f1e7c20d7d2718dd087860c2a7cd9ca6f446656d7617fe

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0289dd63068d2cb79c9d0edee66f2d3b12898009021602c08d2c2831dd5cc4a7",
    "cross_cats_sorted": [
      "hep-lat",
      "hep-th"
    ],
    "license": "",
    "primary_cat": "hep-ph",
    "submitted_at": "2001-05-27T13:59:01Z",
    "title_canon_sha256": "0ce1c3833ad5137951bea53342958339e862988893aae24b062adae7be12730b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "hep-ph/0105280",
    "kind": "arxiv",
    "version": 2
  }
}