Pith Number

pith:TSKTMZ4C

pith:2010:TSKTMZ4CRU3ER2TDJ62YUP2R4S

not attested not anchored not stored refs pending

A Computer Algebra Toolbox for Harmonic Sums Related to Particle Physics

Jakob Ablinger

arxiv:1011.1176 v1 · 2010-11-04 · math-ph · 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{TSKTMZ4CRU3ER2TDJ62YUP2R4S}

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

3 papers in Pith

Analytical solution to DGLAP integro-differential equation via complex maps in domains of contour integrals

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

The four-loop non-singlet splitting functions in QCD

Receipt and verification

First computed	2026-05-18T04:37:01.812764Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9c953667828d3648ea634fb58a3f51e483d0733a5de7e5bed70d366ade1c8b87

Aliases

arxiv: 1011.1176 · arxiv_version: 1011.1176v1 · doi: 10.48550/arxiv.1011.1176 · pith_short_12: TSKTMZ4CRU3E · pith_short_16: TSKTMZ4CRU3ER2TD · pith_short_8: TSKTMZ4C

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/TSKTMZ4CRU3ER2TDJ62YUP2R4S \
  | 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: 9c953667828d3648ea634fb58a3f51e483d0733a5de7e5bed70d366ade1c8b87

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0924ae77539bf9d3694cfbf1f877ae7e3be55f5cc69248ae9c6eed6589531f47",
    "cross_cats_sorted": [
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2010-11-04T14:50:32Z",
    "title_canon_sha256": "9028022fe3adf5362b8e18df0d713f231efdaedaf7b07eb3fc205d5a827a9f50"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1011.1176",
    "kind": "arxiv",
    "version": 1
  }
}