Pith Number

pith:CLIABN4Z

pith:2005:CLIABN4ZCWO6EQ57F7I2JTGXOQ

not attested not anchored not stored refs pending

Laurent series expansion of a class of massive scalar one-loop integrals up to ${\cal O}(\ep^2)$ in terms of multiple polylogarithms

J.G. K\"orner, M. Rogal, Z. Merebashvili

arxiv:hep-ph/0512159 v3 · 2005-12-13 · 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{CLIABN4ZCWO6EQ57F7I2JTGXOQ}

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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	2026-05-18T01:08:53.608727Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

12d000b799159de243bf2fd1a4ccd77425da7603a45e05918d11d8e2f8535e6b

Aliases

arxiv: hep-ph/0512159 · arxiv_version: hep-ph/0512159v3 · doi: 10.48550/arxiv.hep-ph/0512159 · pith_short_12: CLIABN4ZCWO6 · pith_short_16: CLIABN4ZCWO6EQ57 · pith_short_8: CLIABN4Z

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/CLIABN4ZCWO6EQ57F7I2JTGXOQ \
  | 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: 12d000b799159de243bf2fd1a4ccd77425da7603a45e05918d11d8e2f8535e6b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f3a7c3c95afc1ec2ca7fbc735386e48cb41e1e33757d54ad4c7cf2335f91cc4a",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "hep-ph",
    "submitted_at": "2005-12-13T13:26:24Z",
    "title_canon_sha256": "e0b3c3b0f18d5b6391b88cc1e9a7dc2c67fa42e529b1c35dc68396dc0d12d181"
  },
  "schema_version": "1.0",
  "source": {
    "id": "hep-ph/0512159",
    "kind": "arxiv",
    "version": 3
  }
}