Pith Number

pith:HCFF7GND

pith:2005:HCFF7GNDP225YAG4PZ7SGB3KSW

not attested not anchored not stored refs pending

Spatial E_0-Semigroups are Restrictions of Inner Automorphismgroups

Michael Skeide

arxiv:math/0509323 v1 · 2005-09-14 · 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{HCFF7GNDP225YAG4PZ7SGB3KSW}

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	2026-05-18T03:06:43.269286Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

388a5f99a37eb5dc00dc7e7f23076a958a368b92ba7b8d33b51eb1ae72d44386

Aliases

arxiv: math/0509323 · arxiv_version: math/0509323v1 · doi: 10.48550/arxiv.math/0509323 · pith_short_12: HCFF7GNDP225 · pith_short_16: HCFF7GNDP225YAG4 · pith_short_8: HCFF7GND

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/HCFF7GNDP225YAG4PZ7SGB3KSW \
  | 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: 388a5f99a37eb5dc00dc7e7f23076a958a368b92ba7b8d33b51eb1ae72d44386

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ea93889cdfb2c2ba64bf0f8487fc8867710c54dc2d8db25d2708f0f1dc201591",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.OA",
    "submitted_at": "2005-09-14T19:52:51Z",
    "title_canon_sha256": "7b8832430f60f1060dfe7eb4ac7e47b72206693c5eae67f00f1b8808c224bbe2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0509323",
    "kind": "arxiv",
    "version": 1
  }
}