Pith Number

pith:FZE7BY3J

pith:2005:FZE7BY3JCC6RBIORHW5F2WTJH6

not attested not anchored not stored refs pending

Evans-Kishimoto type argument for actions of discrete amenable groups on McDuff factors

Toshihiko Masuda

arxiv:math/0505311 v1 · 2005-05-15 · 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{FZE7BY3JCC6RBIORHW5F2WTJH6}

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	2026-05-18T01:05:23.453904Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2e49f0e36910bd10a1d13dba5d5a693fa792aca818251061acba6a1cdfadcc44

Aliases

arxiv: math/0505311 · arxiv_version: math/0505311v1 · doi: 10.48550/arxiv.math/0505311 · pith_short_12: FZE7BY3JCC6R · pith_short_16: FZE7BY3JCC6RBIOR · pith_short_8: FZE7BY3J

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/FZE7BY3JCC6RBIORHW5F2WTJH6 \
  | 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: 2e49f0e36910bd10a1d13dba5d5a693fa792aca818251061acba6a1cdfadcc44

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4b02650c76576eb4e407daf495e7ecfd6d6ed35b933091c4431d876077f6252f",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.OA",
    "submitted_at": "2005-05-15T02:24:52Z",
    "title_canon_sha256": "aad3ae862312b87695cb116432cc718c9953683ac1fb84c46333b9cda936351e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0505311",
    "kind": "arxiv",
    "version": 1
  }
}