Pith Number

pith:KVAAXA6H

pith:2012:KVAAXA6HHILQZZOXV4BIYL3IO3

not attested not anchored not stored refs pending

Mean value theorems for the double zeta-function

Hirofumi Tsumura, Kohji Matsumoto

arxiv:1203.2242 v5 · 2012-03-10 · 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{KVAAXA6HHILQZZOXV4BIYL3IO3}

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	2026-05-18T01:16:07.713348Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

55400b83c73a170ce5d7af028c2f6876c7ed4f7a508e28b0bc3eaffae68df908

Aliases

arxiv: 1203.2242 · arxiv_version: 1203.2242v5 · doi: 10.48550/arxiv.1203.2242 · pith_short_12: KVAAXA6HHILQ · pith_short_16: KVAAXA6HHILQZZOX · pith_short_8: KVAAXA6H

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/KVAAXA6HHILQZZOXV4BIYL3IO3 \
  | 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: 55400b83c73a170ce5d7af028c2f6876c7ed4f7a508e28b0bc3eaffae68df908

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0296d8b071c44855890226607773169634830fcb26af0267154623a35174994c",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2012-03-10T08:52:34Z",
    "title_canon_sha256": "bd4a7bd16b3e8e42b380eb70f1ab29c31b5bb074c7850105c21759f66c6cd114"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1203.2242",
    "kind": "arxiv",
    "version": 5
  }
}