Pith Number

pith:5H7YRVHD

pith:2003:5H7YRVHDVJNBEB33KIK5BKDIQ4

not attested not anchored not stored refs pending

Algebraic Relations Between Harmonic Sums and Associated Quantities

J. Bl\"umlein

arxiv:hep-ph/0311046 v1 · 2003-11-04 · hep-ph · hep-lat · hep-th · math.CO · math.QA · math.RA

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Add to your LaTeX paper

\usepackage{pith}
\pithnumber{5H7YRVHDVJNBEB33KIK5BKDIQ4}

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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.

Cited by

1 paper in Pith

The $\mu$-extension of iterated integrals and nested sums

Receipt and verification

First computed	2026-07-04T15:32:22.699413Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e9ff88d4e3aa5a12077b5215d0a86887000f910f123c874ed6e41ff05e06e4bb

Aliases

arxiv: hep-ph/0311046 · arxiv_version: hep-ph/0311046v1 · doi: 10.48550/arxiv.hep-ph/0311046 · pith_short_12: 5H7YRVHDVJNB · pith_short_16: 5H7YRVHDVJNBEB33 · pith_short_8: 5H7YRVHD

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/5H7YRVHDVJNBEB33KIK5BKDIQ4 \
  | 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: e9ff88d4e3aa5a12077b5215d0a86887000f910f123c874ed6e41ff05e06e4bb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4cac1590b9c0dba9b5ddbe9050e5405ecc5a94b203c3dc8fdc2b992f608e98da",
    "cross_cats_sorted": [
      "hep-lat",
      "hep-th",
      "math.CO",
      "math.QA",
      "math.RA"
    ],
    "license": "",
    "primary_cat": "hep-ph",
    "submitted_at": "2003-11-04T13:30:16Z",
    "title_canon_sha256": "8006afa1b0d60f0b906dcb017dd89e1d795afb0457823cd2c7368d94b529df32"
  },
  "schema_version": "1.0",
  "source": {
    "id": "hep-ph/0311046",
    "kind": "arxiv",
    "version": 1
  }
}