Pith Number

pith:EK6YA2RE

pith:2004:EK6YA2RE76N7I77OB5FCRIQX5G

not attested not anchored not stored refs pending

The Hopf algebra structure of multiple harmonic sums

Michael E. Hoffman

arxiv:math/0406589 v1 · 2004-06-29 · math.QA · 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{EK6YA2RE76N7I77OB5FCRIQX5G}

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

IBIS: Inverse BInomial sum Solver

Receipt and verification

First computed	2026-07-04T14:38:52.464880Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

22bd806a24ff9bf47fee0f4a28a217e9abd5a1fb3d82ccc384e38c1ad30aea70

Aliases

arxiv: math/0406589 · arxiv_version: math/0406589v1 · doi: 10.48550/arxiv.math/0406589 · pith_short_12: EK6YA2RE76N7 · pith_short_16: EK6YA2RE76N7I77O · pith_short_8: EK6YA2RE

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/EK6YA2RE76N7I77OB5FCRIQX5G \
  | 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: 22bd806a24ff9bf47fee0f4a28a217e9abd5a1fb3d82ccc384e38c1ad30aea70

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e8cf26f51ed44ca6b49c91589417e41ffea4ab0bdf2ab0a7f16ef234ac8415d0",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "",
    "primary_cat": "math.QA",
    "submitted_at": "2004-06-29T02:00:21Z",
    "title_canon_sha256": "9af5331a8683fb4da76acdced6bfa3f1c6ba57d90ddb47ae6df8fc4d0f9015fc"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0406589",
    "kind": "arxiv",
    "version": 1
  }
}