Pith Number

pith:NCN7EBLQ

pith:1993:NCN7EBLQTP4KBD7XU6UGY7MHNH

not attested not anchored not stored refs pending

Renormalization in Quantum Statistics of Systems with Spontaneous Symmetry Breaking

C. Montonen, H. Perez Rojas, J. L. Lucio M., M. Chaichian, M. Vargas

arxiv:hep-th/9309122 v2 · 1993-09-22 · 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{NCN7EBLQTP4KBD7XU6UGY7MHNH}

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	2026-07-04T15:56:18.900276Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

689bf205709bf8a08ff7a7a86c7d8769f70ec01347444942b9084603c47121d3

Aliases

arxiv: hep-th/9309122 · arxiv_version: hep-th/9309122v2 · doi: 10.48550/arxiv.hep-th/9309122 · pith_short_12: NCN7EBLQTP4K · pith_short_16: NCN7EBLQTP4KBD7X · pith_short_8: NCN7EBLQ

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/NCN7EBLQTP4KBD7XU6UGY7MHNH \
  | 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: 689bf205709bf8a08ff7a7a86c7d8769f70ec01347444942b9084603c47121d3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a9cb711df53b700956d0dd94c4a37e795ede80fe5cc11bd0f1065d9be8ea1906",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "hep-th",
    "submitted_at": "1993-09-22T12:45:36Z",
    "title_canon_sha256": "1b0768407c6308a878e979ed8da4ccaa19539f54d4d3a76f7e08982a704ca872"
  },
  "schema_version": "1.0",
  "source": {
    "id": "hep-th/9309122",
    "kind": "arxiv",
    "version": 2
  }
}