Pith Number

pith:GSZTQOZJ

pith:2009:GSZTQOZJTOMT6E3RIMG74EAKWC

not attested not anchored not stored refs pending

The relative tensor product and a minimal fiber product in the setting of $C^{*}$-algebras

Thomas Timmermann

arxiv:0907.4846 v2 · 2009-07-28 · 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{GSZTQOZJTOMT6E3RIMG74EAKWC}

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	2026-05-18T03:19:35.724954Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

34b3383b299b993f1371430dfe100ab089693695a5658f0ab734c38706c10cc4

Aliases

arxiv: 0907.4846 · arxiv_version: 0907.4846v2 · doi: 10.48550/arxiv.0907.4846 · pith_short_12: GSZTQOZJTOMT · pith_short_16: GSZTQOZJTOMT6E3R · pith_short_8: GSZTQOZJ

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/GSZTQOZJTOMT6E3RIMG74EAKWC \
  | 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: 34b3383b299b993f1371430dfe100ab089693695a5658f0ab734c38706c10cc4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "873cb89a4cc8a6189de3f978d8bbbdde514126d0679e04aad5a4eccb9da99495",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OA",
    "submitted_at": "2009-07-28T06:33:59Z",
    "title_canon_sha256": "7c0f5273f12147230f74610e4c88c73753d82dd46973725a8a531ef6d3e50218"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0907.4846",
    "kind": "arxiv",
    "version": 2
  }
}