Pith Number

pith:MLAU4IC5

pith:2009:MLAU4IC5MWGQR2XQQU2DBHYCZW

not attested not anchored not stored refs pending

Shuffle products for multiple zeta values and partial fraction decompositions of zeta-functions of root systems

Hirofumi Tsumura, Kohji Matsumoto, Yasushi Komori

arxiv:0908.0670 v1 · 2009-08-05 · 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{MLAU4IC5MWGQR2XQQU2DBHYCZW}

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	2026-05-18T01:16:07.756361Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

62c14e205d658d08eaf08534309f02cdb1370091e6ce654ca25aaa129da2b5e2

Aliases

arxiv: 0908.0670 · arxiv_version: 0908.0670v1 · doi: 10.48550/arxiv.0908.0670 · pith_short_12: MLAU4IC5MWGQ · pith_short_16: MLAU4IC5MWGQR2XQ · pith_short_8: MLAU4IC5

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/MLAU4IC5MWGQR2XQQU2DBHYCZW \
  | 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: 62c14e205d658d08eaf08534309f02cdb1370091e6ce654ca25aaa129da2b5e2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6b7e326aecba6f1b7df40b91515083fea5d3203cd804a18eb5cd1f6322c2e7b7",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2009-08-05T14:25:32Z",
    "title_canon_sha256": "a6031cb04fe7b7f603f7794f1ac213d107ba3c3bc148c9ec8c8dd304b1fe9428"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0908.0670",
    "kind": "arxiv",
    "version": 1
  }
}