Pith Number

pith:7B7I3E2H

pith:2006:7B7I3E2H3TIS35LZYLWERSZC2V

not attested not anchored not stored refs pending

Isometric group actions on Banach spaces and representations vanishing at infinity

Alain Valette, Romain Tessera, Yves de Cornulier

arxiv:math/0612398 v1 · 2006-12-14 · math.RT · math.GR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{7B7I3E2H3TIS35LZYLWERSZC2V}

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	2026-05-18T04:42:36.299399Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f87e8d9347dcd12df579c2ec48cb22d540d39d91c31f694d7c00cf3c74fdbb4f

Aliases

arxiv: math/0612398 · arxiv_version: math/0612398v1 · doi: 10.48550/arxiv.math/0612398 · pith_short_12: 7B7I3E2H3TIS · pith_short_16: 7B7I3E2H3TIS35LZ · pith_short_8: 7B7I3E2H

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/7B7I3E2H3TIS35LZYLWERSZC2V \
  | 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: f87e8d9347dcd12df579c2ec48cb22d540d39d91c31f694d7c00cf3c74fdbb4f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "272bc4863aa611b26c986bd06b5e4de170a80c6f8d9ee080baaf3d3b3576b49f",
    "cross_cats_sorted": [
      "math.GR"
    ],
    "license": "",
    "primary_cat": "math.RT",
    "submitted_at": "2006-12-14T16:32:10Z",
    "title_canon_sha256": "171b6519e5bfdfa36f24dbf4c8e3bf0b3509b9c9788681dd692f420558026f37"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0612398",
    "kind": "arxiv",
    "version": 1
  }
}