Pith Number

pith:S2ELWSH3

pith:2015:S2ELWSH3L4U7TQTNH7EMFGEAHW

not attested not anchored not stored refs pending

Inhomogeneous and Homogeneous Renormalization Group Equations for the Effective Potential

H. A. Alhendi, H. I. Alrebdi, T. Barakat

arxiv:1509.03971 v1 · 2015-09-14 · hep-ph

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{S2ELWSH3L4U7TQTNH7EMFGEAHW}

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	2026-05-18T01:33:08.594014Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9688bb48fb5f29f9c26d3fc8c298803d9bc75eadcb16acc63a574926fb09a1e6

Aliases

arxiv: 1509.03971 · arxiv_version: 1509.03971v1 · doi: 10.48550/arxiv.1509.03971 · pith_short_12: S2ELWSH3L4U7 · pith_short_16: S2ELWSH3L4U7TQTN · pith_short_8: S2ELWSH3

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/S2ELWSH3L4U7TQTNH7EMFGEAHW \
  | 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: 9688bb48fb5f29f9c26d3fc8c298803d9bc75eadcb16acc63a574926fb09a1e6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "63b33dfde4b4b070c4ee9e019bce11228d11d316a6ceefcf6fa5d7c25d8b11e4",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-ph",
    "submitted_at": "2015-09-14T07:35:12Z",
    "title_canon_sha256": "36aed822ce066da900fc7feab93eb630384acee2b10698657b5dc21eff170358"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1509.03971",
    "kind": "arxiv",
    "version": 1
  }
}