Pith Number

pith:T6UTTK4U

pith:2013:T6UTTK4UO6L4XSFI2SJ5I6UUIF

not attested not anchored not stored refs pending

The representation zeta function of a FAb compact p-adic Lie group vanishes at -2

Andrei Jaikin-Zapirain, Benjamin Klopsch, Jon Gonzalez-Sanchez

arxiv:1302.5566 v1 · 2013-02-22 · math.GR · 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{T6UTTK4UO6L4XSFI2SJ5I6UUIF}

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	2026-05-18T00:44:30.001130Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9fa939ab947797cbc8a8d493d47a944166b0d425d5967d545547a8b987231ab5

Aliases

arxiv: 1302.5566 · arxiv_version: 1302.5566v1 · doi: 10.48550/arxiv.1302.5566 · pith_short_12: T6UTTK4UO6L4 · pith_short_16: T6UTTK4UO6L4XSFI · pith_short_8: T6UTTK4U

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/T6UTTK4UO6L4XSFI2SJ5I6UUIF \
  | 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: 9fa939ab947797cbc8a8d493d47a944166b0d425d5967d545547a8b987231ab5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b4f366c9a505ed8ba75c8ef1e72611707c54e1844128e9a06a27f66b226b8b85",
    "cross_cats_sorted": [
      "math.NT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2013-02-22T12:14:25Z",
    "title_canon_sha256": "7ff7c7524b48d0c586e356ceb0b4dc0d5d855e40c8f28fcff02ab292e54e4000"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1302.5566",
    "kind": "arxiv",
    "version": 1
  }
}