Pith Number

pith:DIL3FEHN

pith:2006:DIL3FEHNO6CTVNIKZ6EK63NZOY

not attested not anchored not stored refs pending

Isometric group actions on Hilbert spaces: structure of orbits

Alain Valette, Romain Tessera, Yves de Cornulier

arxiv:math/0604051 v1 · 2006-04-03 · math.GR · math.FA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{DIL3FEHNO6CTVNIKZ6EK63NZOY}

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	2026-05-18T04:42:36.307271Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1a17b290ed77853ab50acf88af6db97620e19fb09dad486896cd396065da8f1e

Aliases

arxiv: math/0604051 · arxiv_version: math/0604051v1 · doi: 10.48550/arxiv.math/0604051 · pith_short_12: DIL3FEHNO6CT · pith_short_16: DIL3FEHNO6CTVNIK · pith_short_8: DIL3FEHN

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/DIL3FEHNO6CTVNIKZ6EK63NZOY \
  | 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: 1a17b290ed77853ab50acf88af6db97620e19fb09dad486896cd396065da8f1e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4fb6f56baaea231a256db67092aa2d619df500d03a0d21893a06d457445869e5",
    "cross_cats_sorted": [
      "math.FA"
    ],
    "license": "",
    "primary_cat": "math.GR",
    "submitted_at": "2006-04-03T19:39:12Z",
    "title_canon_sha256": "f12053a09c5031212b749015b1b28ddd2a07937b25d33e7a05d70adab84de0cb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0604051",
    "kind": "arxiv",
    "version": 1
  }
}