Pith Number

pith:47QS2OPT

pith:2013:47QS2OPTLNJANLFI37SMAS67FG

not attested not anchored not stored refs pending

Generalized Harmonic, Cyclotomic, and Binomial Sums, their Polylogarithms and Special Numbers

C Schneider, J Ablinger, J Bl\"umlein

arxiv:1310.5645 v1 · 2013-10-21 · math-ph · hep-ph · hep-th · 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{47QS2OPTLNJANLFI37SMAS67FG}

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	2026-05-18T01:46:56.781616Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e7e12d39f35b5206aca8dfe4c04bdf2982a1a8935d38c240525e91d343c242c2

Aliases

arxiv: 1310.5645 · arxiv_version: 1310.5645v1 · doi: 10.48550/arxiv.1310.5645 · pith_short_12: 47QS2OPTLNJA · pith_short_16: 47QS2OPTLNJANLFI · pith_short_8: 47QS2OPT

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/47QS2OPTLNJANLFI37SMAS67FG \
  | 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: e7e12d39f35b5206aca8dfe4c04bdf2982a1a8935d38c240525e91d343c242c2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7c06f9a7b17482b1cb414bda81979e8a71836fd0d679657ecf836d88a3b9b4db",
    "cross_cats_sorted": [
      "hep-ph",
      "hep-th",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2013-10-21T17:05:04Z",
    "title_canon_sha256": "7c00854539b1ee95b84ff597bf4aacb4d7b75e3692365ba5fb0da0b5074313b2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1310.5645",
    "kind": "arxiv",
    "version": 1
  }
}