Pith Number

pith:5X6UHRFG

pith:2009:5X6UHRFGZX6N4KQ6CQXVKWQUAN

not attested not anchored not stored refs pending

On Witten multiple zeta-functions associated with semisimple Lie algebras III

Hirofumi Tsumura, Kohji Matsumoto, Yasushi Komori

arxiv:0907.0955 v1 · 2009-07-06 · 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{5X6UHRFGZX6N4KQ6CQXVKWQUAN}

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	2026-05-18T01:16:07.772832Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

edfd43c4a6cdfcde2a1e142f555a1403651c1ed3313b6b243fddb215f8e87977

Aliases

arxiv: 0907.0955 · arxiv_version: 0907.0955v1 · doi: 10.48550/arxiv.0907.0955 · pith_short_12: 5X6UHRFGZX6N · pith_short_16: 5X6UHRFGZX6N4KQ6 · pith_short_8: 5X6UHRFG

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/5X6UHRFGZX6N4KQ6CQXVKWQUAN \
  | 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: edfd43c4a6cdfcde2a1e142f555a1403651c1ed3313b6b243fddb215f8e87977

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9a580556d9a4c9081aa5ea174715273f07d1d6bed1b8eed0f8c8bc4393767e6e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2009-07-06T12:07:51Z",
    "title_canon_sha256": "6a898cf68e7ea17c68bef4ac30d1a732fdcc7d4f388a5097155d73bdaf2a0cc0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0907.0955",
    "kind": "arxiv",
    "version": 1
  }
}