Pith Number

pith:3EMY7HER

pith:2005:3EMY7HERBHU4UBOBVGT6EMZDGF

not attested not anchored not stored refs pending

Re-Interpretation of Spontaneous Symmetry Breaking in Quantum Field Theory and Goldstone Theorem

H. Takahashi, M. Hiramoto, M. Matsumoto, T. Fujita, T. Homma

arxiv:hep-th/0510151 v1 · 2005-10-18 · hep-th · 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{3EMY7HERBHU4UBOBVGT6EMZDGF}

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	2026-07-04T14:51:09.660638Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d9198f9c9109e9ca05c1a9a7e2332331456eb6800b2884a65f3784977a76ed89

Aliases

arxiv: hep-th/0510151 · arxiv_version: hep-th/0510151v1 · doi: 10.48550/arxiv.hep-th/0510151 · pith_short_12: 3EMY7HERBHU4 · pith_short_16: 3EMY7HERBHU4UBOB · pith_short_8: 3EMY7HER

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/3EMY7HERBHU4UBOBVGT6EMZDGF \
  | 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: d9198f9c9109e9ca05c1a9a7e2332331456eb6800b2884a65f3784977a76ed89

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "870c9e611b123ed84c92d60dbd0893310618d8eaa688cc7628ba56744a9cfebc",
    "cross_cats_sorted": [
      "hep-ph"
    ],
    "license": "",
    "primary_cat": "hep-th",
    "submitted_at": "2005-10-18T07:38:54Z",
    "title_canon_sha256": "4e35ef6182e5358af2f37fbd8445c6b8bc0f6238ade3b82ae2457cd8e26e5e15"
  },
  "schema_version": "1.0",
  "source": {
    "id": "hep-th/0510151",
    "kind": "arxiv",
    "version": 1
  }
}