Pith Number

pith:CIPW4MPI

pith:2010:CIPW4MPIGHDU7IL3HKVNWZNWGB

not attested not anchored not stored refs pending

Functional equations for Weng's zeta functions for $(G,P)/\mathbb{Q}$

Yasushi Komori

arxiv:1011.4582 v1 · 2010-11-20 · math.NT · math.RT

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{CIPW4MPIGHDU7IL3HKVNWZNWGB}

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	2026-05-18T04:35:04.366375Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

121f6e31e831c74fa17b3aaadb65b6306d80d22e81c2478dc205f9bf2b75f923

Aliases

arxiv: 1011.4582 · arxiv_version: 1011.4582v1 · doi: 10.48550/arxiv.1011.4582 · pith_short_12: CIPW4MPIGHDU · pith_short_16: CIPW4MPIGHDU7IL3 · pith_short_8: CIPW4MPI

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/CIPW4MPIGHDU7IL3HKVNWZNWGB \
  | 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: 121f6e31e831c74fa17b3aaadb65b6306d80d22e81c2478dc205f9bf2b75f923

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c14404e0ef8881e341bc30666154c9685464c43cc15907cafb26fbfffa4ee2f6",
    "cross_cats_sorted": [
      "math.RT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2010-11-20T14:38:57Z",
    "title_canon_sha256": "0f894e04a7483ccb755d16050720920b2d5680762585e7731da96fda37d19699"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1011.4582",
    "kind": "arxiv",
    "version": 1
  }
}