Pith Number

pith:WOZKGZPA

pith:2013:WOZKGZPARQPCQJILIVFA6L4EAA

not attested not anchored not stored refs pending

Spontaneous symmetry breaking and optimization of functional renormalization group

I. G. Marian, I. Nandori, V. Bacso

arxiv:1303.4508 v4 · 2013-03-19 · 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{WOZKGZPARQPCQJILIVFA6L4EAA}

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	2026-05-18T02:57:43.684344Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b3b2a365e08c1e28250b454a0f2f840022cbb90d1559a98709e1231d67c47e6b

Aliases

arxiv: 1303.4508 · arxiv_version: 1303.4508v4 · doi: 10.48550/arxiv.1303.4508 · pith_short_12: WOZKGZPARQPC · pith_short_16: WOZKGZPARQPCQJIL · pith_short_8: WOZKGZPA

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/WOZKGZPARQPCQJILIVFA6L4EAA \
  | 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: b3b2a365e08c1e28250b454a0f2f840022cbb90d1559a98709e1231d67c47e6b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b8c2f7709c24c41ddcf7c39d4161a3ab9c9b9029a3e939fe0000057f44e1d49a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2013-03-19T08:31:03Z",
    "title_canon_sha256": "6f000c64e5b920ed35292dfee03427113b4a97d45b525b20478b6578093297b8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1303.4508",
    "kind": "arxiv",
    "version": 4
  }
}