Pith Number

pith:SNFQZNTP

pith:2001:SNFQZNTPSV7CMADSGZCDO2MK2X

not attested not anchored not stored refs pending

Spontaneous Symmetry Breaking in the Space-time of an Arbitrary Dimension

Je-An Gu, National Taiwan U.), W-Y. P. Hwang (Taiwan

arxiv:hep-th/0102179 v3 · 2001-02-26 · hep-th · gr-qc

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{SNFQZNTPSV7CMADSGZCDO2MK2X}

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	2026-05-18T02:36:12.471812Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

934b0cb66f957e260072364437698ad5ec1a3b4269430a0903e9e83eb3f56644

Aliases

arxiv: hep-th/0102179 · arxiv_version: hep-th/0102179v3 · doi: 10.48550/arxiv.hep-th/0102179 · pith_short_12: SNFQZNTPSV7C · pith_short_16: SNFQZNTPSV7CMADS · pith_short_8: SNFQZNTP

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/SNFQZNTPSV7CMADSGZCDO2MK2X \
  | 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: 934b0cb66f957e260072364437698ad5ec1a3b4269430a0903e9e83eb3f56644

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "69884843637dc0b62e2242e5d7261d7c9cae547f676a8ce44bf77cd5603c87e8",
    "cross_cats_sorted": [
      "gr-qc"
    ],
    "license": "",
    "primary_cat": "hep-th",
    "submitted_at": "2001-02-26T21:10:34Z",
    "title_canon_sha256": "e48e8b7cb12f055dd2cdcaf99edaaa467ed6ea24576e00020a1b0f74e3767d9c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "hep-th/0102179",
    "kind": "arxiv",
    "version": 3
  }
}