Pith Number

pith:R4YGUBWH

pith:2001:R4YGUBWHSV5GZ23QOL4FXVJLWS

not attested not anchored not stored refs pending

The Running Coupling BFKL Anomalous Dimensions and Splitting Functions

R.S. Thorne

arxiv:hep-ph/0103210 v2 · 2001-03-20 · 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{R4YGUBWHSV5GZ23QOL4FXVJLWS}

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	2026-07-04T16:27:17.254418Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8f306a06c7957a6ceb7072f85bd52bb4a4beaa0deec67b7b7b71c38cf89fe3ec

Aliases

arxiv: hep-ph/0103210 · arxiv_version: hep-ph/0103210v2 · doi: 10.48550/arxiv.hep-ph/0103210 · pith_short_12: R4YGUBWHSV5G · pith_short_16: R4YGUBWHSV5GZ23Q · pith_short_8: R4YGUBWH

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/R4YGUBWHSV5GZ23QOL4FXVJLWS \
  | 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: 8f306a06c7957a6ceb7072f85bd52bb4a4beaa0deec67b7b7b71c38cf89fe3ec

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0d3550789e2903827375b72053279dc0161f5cc70e3f1069e67d27327bfa9d7a",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "hep-ph",
    "submitted_at": "2001-03-20T08:43:39Z",
    "title_canon_sha256": "74d39b879b0ffa89a65bd9f9fa61eed2908ad9e2be32a58636db18c48798d640"
  },
  "schema_version": "1.0",
  "source": {
    "id": "hep-ph/0103210",
    "kind": "arxiv",
    "version": 2
  }
}