Pith Number

pith:ZARSC3PN

pith:2014:ZARSC3PNVN662UYHE4YFQQKGQV

not attested not anchored not stored refs pending

Irreducible affine isometric actions on Hilbert spaces

Alain Valette, Bachir Bekka, Thibault Pillon

arxiv:1411.2267 v1 · 2014-11-09 · math.GR · math.OA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ZARSC3PNVN662UYHE4YFQQKGQV}

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	2026-05-18T00:53:45.634541Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c823216dedab7ded53072730584146854655907d1d8cac29a37be9a81b2601f8

Aliases

arxiv: 1411.2267 · arxiv_version: 1411.2267v1 · doi: 10.48550/arxiv.1411.2267 · pith_short_12: ZARSC3PNVN66 · pith_short_16: ZARSC3PNVN662UYH · pith_short_8: ZARSC3PN

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/ZARSC3PNVN662UYHE4YFQQKGQV \
  | 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: c823216dedab7ded53072730584146854655907d1d8cac29a37be9a81b2601f8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "282d40bca277b88f98db649320f264ff35af64e05f1eb9a0126bca7b75ba76bd",
    "cross_cats_sorted": [
      "math.OA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2014-11-09T18:57:04Z",
    "title_canon_sha256": "fc06838488949fefd4e870980dffe813f0005d963dbf53963ca7e6d24932873d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1411.2267",
    "kind": "arxiv",
    "version": 1
  }
}