Pith Number

pith:GGP3FGRT

pith:2006:GGP3FGRTJC4UMU65IY4XTPGGDD

not attested not anchored not stored refs pending

A note on the alternating sums of powers of consecutive q-integers

T. Kim

arxiv:math/0604227 v1 · 2006-04-10 · math.NT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{GGP3FGRTJC4UMU65IY4XTPGGDD}

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.

Receipt and verification

First computed	2026-07-04T14:54:35.445570Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

319fb29a3348b94653dd463979bcc618f5f9e0fe1b8eff825a9513161bded6fe

Aliases

arxiv: math/0604227 · arxiv_version: math/0604227v1 · doi: 10.48550/arxiv.math/0604227 · pith_short_12: GGP3FGRTJC4U · pith_short_16: GGP3FGRTJC4UMU65 · pith_short_8: GGP3FGRT

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/GGP3FGRTJC4UMU65IY4XTPGGDD \
  | 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: 319fb29a3348b94653dd463979bcc618f5f9e0fe1b8eff825a9513161bded6fe

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b8b17fe3a9af348bdab12294536a3c76559c8a37115eee3ee3068d3183654958",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.NT",
    "submitted_at": "2006-04-10T16:54:07Z",
    "title_canon_sha256": "775397682d1f74e1038d92eca6c608a1c545089c47fdab1bf064ca61b4fb1ef9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0604227",
    "kind": "arxiv",
    "version": 1
  }
}