Pith Number

pith:3WCWCKGI

pith:2012:3WCWCKGIPCUYM5EQRW6S23MLVG

not attested not anchored not stored refs pending

Renormalization Group Improved Bottom Mass from Upsilon Sum Rules at NNLL Order

Andre Hoang, Maximilian Stahlhofen, Pedro Ruiz-Femenia

arxiv:1209.0450 v2 · 2012-09-03 · hep-ph · hep-ex · hep-lat

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{3WCWCKGIPCUYM5EQRW6S23MLVG}

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	2026-05-18T03:41:29.027333Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

dd856128c878a98674908dbd2d6d8ba9b045b48cee449552fa60f8df3f7d0507

Aliases

arxiv: 1209.0450 · arxiv_version: 1209.0450v2 · doi: 10.48550/arxiv.1209.0450 · pith_short_12: 3WCWCKGIPCUY · pith_short_16: 3WCWCKGIPCUYM5EQ · pith_short_8: 3WCWCKGI

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/3WCWCKGIPCUYM5EQRW6S23MLVG \
  | 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: dd856128c878a98674908dbd2d6d8ba9b045b48cee449552fa60f8df3f7d0507

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f844f4a6ad43850e9b1884cf567ff55a9d57bc80b55e9d15539792a9cdece666",
    "cross_cats_sorted": [
      "hep-ex",
      "hep-lat"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-ph",
    "submitted_at": "2012-09-03T19:59:05Z",
    "title_canon_sha256": "932d0153232751d3b38be0cd782b2e6195f833fc1466e8cd13ca8e623b356d1c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1209.0450",
    "kind": "arxiv",
    "version": 2
  }
}