Pith Number

pith:G5BO4PF4

pith:2009:G5BO4PF4CGMQPXSQLPS5MPSSUG

not attested not anchored not stored refs pending

Structural Relations of Harmonic Sums and Mellin Transforms up to Weight w = 5

Johannes Bl\"umlein

arxiv:0901.3106 v2 · 2009-01-20 · hep-ph · hep-th · math-ph · math.AG · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{G5BO4PF4CGMQPXSQLPS5MPSSUG}

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.

Cited by

1 paper in Pith

The photon-energy spectrum in $B\to X_s\gamma$ to N$^3$LO: light-fermion and large-$N_{\rm c}$ corrections

Receipt and verification

First computed	2026-05-18T04:36:09.011652Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3742ee3cbc119907de505be5d63e52a1a4686d8ee3e9fc0e600840e1559608fe

Aliases

arxiv: 0901.3106 · arxiv_version: 0901.3106v2 · doi: 10.48550/arxiv.0901.3106 · pith_short_12: G5BO4PF4CGMQ · pith_short_16: G5BO4PF4CGMQPXSQ · pith_short_8: G5BO4PF4

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/G5BO4PF4CGMQPXSQLPS5MPSSUG \
  | 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: 3742ee3cbc119907de505be5d63e52a1a4686d8ee3e9fc0e600840e1559608fe

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7b0e3f2cf7b7608d6e5c33602830b5216b832b5f9c96e46f5bc7841002e74771",
    "cross_cats_sorted": [
      "hep-th",
      "math-ph",
      "math.AG",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-ph",
    "submitted_at": "2009-01-20T17:44:29Z",
    "title_canon_sha256": "5a228ad059beb1c6a69b309dbcad48eed290fe25ca895e7657b9c8db30224750"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0901.3106",
    "kind": "arxiv",
    "version": 2
  }
}