Pith Number

pith:DP56Q7MR

pith:2013:DP56Q7MRQ4YVTACWELY7FC4KOE

not attested not anchored not stored refs pending

Weak solution method of the non-perturbative renormalization group equation to describe dynamical chiral symmetry breaking and its application to beyond the ladder analysis in QCD

Daisuke Sato, Ken-Ichi Aoki

arxiv:1304.5276 v1 · 2013-04-18 · 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{DP56Q7MRQ4YVTACWELY7FC4KOE}

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	2026-05-18T00:37:02.360236Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1bfbe87d91873159805622f1f28b8a712e6e777a88be1578012f3e2d301497a6

Aliases

arxiv: 1304.5276 · arxiv_version: 1304.5276v1 · doi: 10.48550/arxiv.1304.5276 · pith_short_12: DP56Q7MRQ4YV · pith_short_16: DP56Q7MRQ4YVTACW · pith_short_8: DP56Q7MR

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/DP56Q7MRQ4YVTACWELY7FC4KOE \
  | 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: 1bfbe87d91873159805622f1f28b8a712e6e777a88be1578012f3e2d301497a6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2a1871f8a228f4ba5f3adfc3bb1192052c73a94400f6e0442aece2704ae1a482",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2013-04-18T23:02:57Z",
    "title_canon_sha256": "97150f7dd9303503d8c94b1a48f66ab9f135f9a40e428e3075f267b41c130e2c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1304.5276",
    "kind": "arxiv",
    "version": 1
  }
}