Pith Number

pith:KEYECEVP

pith:2009:KEYECEVPUI6LQ3O42GAYGQL5AI

not attested not anchored not stored refs pending

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

Hirofumi Tsumura, Kohji Matsumoto, Yasushi Komori

arxiv:0907.0972 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{KEYECEVPUI6LQ3O42GAYGQL5AI}

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	2026-05-18T01:16:07.764622Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

51304112afa23cb86ddcd18183417d022090d4a8f5e7dcc38019c8157e1a282a

Aliases

arxiv: 0907.0972 · arxiv_version: 0907.0972v1 · doi: 10.48550/arxiv.0907.0972 · pith_short_12: KEYECEVPUI6L · pith_short_16: KEYECEVPUI6LQ3O4 · pith_short_8: KEYECEVP

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/KEYECEVPUI6LQ3O42GAYGQL5AI \
  | 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: 51304112afa23cb86ddcd18183417d022090d4a8f5e7dcc38019c8157e1a282a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c8627b88fda93fcb6dea20d967ad38298ba91a37a1e4016a4f3def35590ae1c6",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2009-07-06T11:47:08Z",
    "title_canon_sha256": "bf5ae9d868f08564388fda2535524c228c6511dc3d779f5532081afae7f7ba74"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0907.0972",
    "kind": "arxiv",
    "version": 1
  }
}