Pith Number

pith:Z2TJQDAZ

pith:2011:Z2TJQDAZNRRRBIEVJVVEF4XR6G

not attested not anchored not stored refs pending

KK-fibrations arising from Rieffel deformations

Amandip Sangha

arxiv:1109.5968 v1 · 2011-09-27 · math.OA · math.KT · math.QA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{Z2TJQDAZNRRRBIEVJVVEF4XR6G}

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	2026-05-18T04:12:10.941807Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cea6980c196c6310a0954d6a42f2f1f1ad72cbb6549feb233f6667c0f2184647

Aliases

arxiv: 1109.5968 · arxiv_version: 1109.5968v1 · doi: 10.48550/arxiv.1109.5968 · pith_short_12: Z2TJQDAZNRRR · pith_short_16: Z2TJQDAZNRRRBIEV · pith_short_8: Z2TJQDAZ

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/Z2TJQDAZNRRRBIEVJVVEF4XR6G \
  | 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: cea6980c196c6310a0954d6a42f2f1f1ad72cbb6549feb233f6667c0f2184647

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "952f5a43d234b4a9312eaf0b6f06baca57f92920a81224ec41a61a0fee4eccad",
    "cross_cats_sorted": [
      "math.KT",
      "math.QA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OA",
    "submitted_at": "2011-09-27T16:57:19Z",
    "title_canon_sha256": "c6c37e94126b8735bc8ac4f979f6888e2106a317ba5bdb3469a55ef671e23949"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1109.5968",
    "kind": "arxiv",
    "version": 1
  }
}