Pith Number

pith:7KU6SMPZ

pith:2012:7KU6SMPZG6LEGDAXRZE5GM7YRH

not attested not anchored not stored refs pending

Gravitational Corrections to $\Phi^{4}$ Theory with Spontaneously Broken Symmetry

Hao-Ran Chang, Wen-Tao Hou, Yi Sun

arxiv:1207.5981 v1 · 2012-07-25 · 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{7KU6SMPZG6LEGDAXRZE5GM7YRH}

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	2026-05-18T01:25:16.522629Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

faa9e931f93796430c178e49d333f889f38e88241c522e75e263f6cf0e30c6bc

Aliases

arxiv: 1207.5981 · arxiv_version: 1207.5981v1 · doi: 10.48550/arxiv.1207.5981 · pith_short_12: 7KU6SMPZG6LE · pith_short_16: 7KU6SMPZG6LEGDAX · pith_short_8: 7KU6SMPZ

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/7KU6SMPZG6LEGDAXRZE5GM7YRH \
  | 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: faa9e931f93796430c178e49d333f889f38e88241c522e75e263f6cf0e30c6bc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "614505af6d5ecd4fb9b00322ddbcb4b306cef30ef72bbcd0afa72b80293e5754",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2012-07-25T13:12:38Z",
    "title_canon_sha256": "7cc6e4cb17a612329cc909f62dd511b22566370c85f43f2d2a6a6790ee3c1a5f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1207.5981",
    "kind": "arxiv",
    "version": 1
  }
}