Pith Number

pith:UTUNEND3

pith:2010:UTUNEND3DTYN3VA5ZV7QNHKLV5

not attested not anchored not stored refs pending

Pions are neither perturbative nor nonperturbative: Wilsonian renormalization group analysis of nuclear effective field theory including pions

Hirofumi Kubo, Koji Harada, Yuki Yamamoto

arxiv:1012.2716 v3 · 2010-12-13 · nucl-th · hep-ph · 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{UTUNEND3DTYN3VA5ZV7QNHKLV5}

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	2026-05-18T02:23:07.371425Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a4e8d2347b1cf0ddd41dcd7f069d4baf62ee9945e8d1c6a4874d9a63cf6809ad

Aliases

arxiv: 1012.2716 · arxiv_version: 1012.2716v3 · doi: 10.48550/arxiv.1012.2716 · pith_short_12: UTUNEND3DTYN · pith_short_16: UTUNEND3DTYN3VA5 · pith_short_8: UTUNEND3

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/UTUNEND3DTYN3VA5ZV7QNHKLV5 \
  | 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: a4e8d2347b1cf0ddd41dcd7f069d4baf62ee9945e8d1c6a4874d9a63cf6809ad

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "14117a0d69b82bb573545ac0f54ba205f3220cfc4191794d124e779adc60fde7",
    "cross_cats_sorted": [
      "hep-ph",
      "hep-th"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "nucl-th",
    "submitted_at": "2010-12-13T12:52:24Z",
    "title_canon_sha256": "503902c89f20b4bc41d7bf274b9e0c995b35c17fffda7079ff76d876727a37e7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1012.2716",
    "kind": "arxiv",
    "version": 3
  }
}