Pith Number

pith:7RQDFUMG

pith:2005:7RQDFUMGLHHTTS2TCDNE7WWHGV

not attested not anchored not stored refs pending

Extensions and Dilations for $C^*$-dynamical Systems

Baruch Solel, Paul S. Muhly

arxiv:math/0509506 v1 · 2005-09-22 · 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{7RQDFUMGLHHTTS2TCDNE7WWHGV}

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	2026-05-18T01:05:23.122079Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fc6032d18659cf39cb5310da4fdac7356609f24417a9893ed8fb4186aa67fc95

Aliases

arxiv: math/0509506 · arxiv_version: math/0509506v1 · doi: 10.48550/arxiv.math/0509506 · pith_short_12: 7RQDFUMGLHHT · pith_short_16: 7RQDFUMGLHHTTS2T · pith_short_8: 7RQDFUMG

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/7RQDFUMGLHHTTS2TCDNE7WWHGV \
  | 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: fc6032d18659cf39cb5310da4fdac7356609f24417a9893ed8fb4186aa67fc95

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "281163341a9d40fb2acd8ca0a9456c6d8b4f74fe9a8f181ca30813745b37dac7",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.OA",
    "submitted_at": "2005-09-22T06:16:58Z",
    "title_canon_sha256": "b3c7dd16c14132d6f9c4d5b9df0092948e029e8d714f23dfb19201b8d95ece34"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0509506",
    "kind": "arxiv",
    "version": 1
  }
}