Pith Number

pith:VPR5N4VA

pith:2011:VPR5N4VA57TYOVRLMI4ZBNIK7O

not attested not anchored not stored refs pending

A restricted sum formula for a q-analogue of multiple zeta values

Yoshihiro Takeyama

arxiv:1112.0118 v1 · 2011-12-01 · 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{VPR5N4VA57TYOVRLMI4ZBNIK7O}

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	2026-05-18T04:07:16.983537Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

abe3d6f2a0efe787562b623990b50afbb82d5ae3b75e1ac620a167a3b1b52681

Aliases

arxiv: 1112.0118 · arxiv_version: 1112.0118v1 · doi: 10.48550/arxiv.1112.0118 · pith_short_12: VPR5N4VA57TY · pith_short_16: VPR5N4VA57TYOVRL · pith_short_8: VPR5N4VA

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/VPR5N4VA57TYOVRLMI4ZBNIK7O \
  | 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: abe3d6f2a0efe787562b623990b50afbb82d5ae3b75e1ac620a167a3b1b52681

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c34a2fa21e8130d1577e50ebda349f67ecb4eb97001f8302ec67d11ad4f771d9",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2011-12-01T09:16:09Z",
    "title_canon_sha256": "3af4b56c41ea4e64f0c51788e445878495d9a46502667bc763ac1857bfbd831a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1112.0118",
    "kind": "arxiv",
    "version": 1
  }
}