Pith Number

pith:LVDJ3Z3G

pith:2010:LVDJ3Z3GP7HQONF6TAL7PVCEJ4

not attested not anchored not stored refs pending

Combinatorial remarks on the cyclic sum formula for multiple zeta values

Noriko Wakabayashi, Shingo Saito, Tatsushi Tanaka

arxiv:1006.3984 v1 · 2010-06-21 · math.NT · math.CO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{LVDJ3Z3GP7HQONF6TAL7PVCEJ4}

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	2026-05-18T04:27:03.694161Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5d469de7667fcf0734be9817f7d4444f16eb2b713658ecf5e139c37f5e351d0e

Aliases

arxiv: 1006.3984 · arxiv_version: 1006.3984v1 · doi: 10.48550/arxiv.1006.3984 · pith_short_12: LVDJ3Z3GP7HQ · pith_short_16: LVDJ3Z3GP7HQONF6 · pith_short_8: LVDJ3Z3G

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/LVDJ3Z3GP7HQONF6TAL7PVCEJ4 \
  | 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: 5d469de7667fcf0734be9817f7d4444f16eb2b713658ecf5e139c37f5e351d0e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "000ab133e1cc23fcd2d92b283c5c76de053b6c578d638428456e8206ab0625c1",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2010-06-21T04:07:45Z",
    "title_canon_sha256": "de5e522f800bbc664eee8236c7de3d166d6f72ffb6cda097dfd6dcaac544f9f2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1006.3984",
    "kind": "arxiv",
    "version": 1
  }
}