Pith Number

pith:CXMV6NEZ

pith:2011:CXMV6NEZKLUHGTRO6HLWS7YIHK

not attested not anchored not stored refs pending

Timelike Single-logarithm-resummed Splitting Functions

A. V. Kotikov, B. A. Kniehl, P. Bolzoni, S. Albino

arxiv:1108.3948 v2 · 2011-08-19 · 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{CXMV6NEZKLUHGTRO6HLWS7YIHK}

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	2026-05-18T02:00:50.532722Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

15d95f349952e8734e2ef1d7697f083aa29ae6a5170a502df2c13922a14c62d0

Aliases

arxiv: 1108.3948 · arxiv_version: 1108.3948v2 · doi: 10.48550/arxiv.1108.3948 · pith_short_12: CXMV6NEZKLUH · pith_short_16: CXMV6NEZKLUHGTRO · pith_short_8: CXMV6NEZ

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/CXMV6NEZKLUHGTRO6HLWS7YIHK \
  | 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: 15d95f349952e8734e2ef1d7697f083aa29ae6a5170a502df2c13922a14c62d0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3e26a7b3ab86138602231d531aaf06680689fe37b7c1c6ff5bc1aaa413cc7073",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-ph",
    "submitted_at": "2011-08-19T12:07:36Z",
    "title_canon_sha256": "456650093ddb54814fb463f4039b0bbc0f83c4df6810aa152de816e2beb1d66f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1108.3948",
    "kind": "arxiv",
    "version": 2
  }
}