Pith Number

pith:LAZCQLYE

pith:2011:LAZCQLYET7QWZEAEOIZBMRIKBK

not attested not anchored not stored refs pending

The K-theory of Heegaard quantum lens spaces

Adam Rennie, Bartosz Zielinski, Piotr M. Hajac

arxiv:1110.5897 v1 · 2011-10-26 · math.KT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{LAZCQLYET7QWZEAEOIZBMRIKBK}

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	2026-05-18T04:10:10.968259Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5832282f049fe16c9004723216450a0a906808d4acb0b680007e78b4221d86b7

Aliases

arxiv: 1110.5897 · arxiv_version: 1110.5897v1 · doi: 10.48550/arxiv.1110.5897 · pith_short_12: LAZCQLYET7QW · pith_short_16: LAZCQLYET7QWZEAE · pith_short_8: LAZCQLYE

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/LAZCQLYET7QWZEAEOIZBMRIKBK \
  | 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: 5832282f049fe16c9004723216450a0a906808d4acb0b680007e78b4221d86b7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d76960d2f5c54219b9542e7f63a4f0c258aab46d26e92a99371c97673988a8c5",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.KT",
    "submitted_at": "2011-10-26T19:53:22Z",
    "title_canon_sha256": "b5a16b190db1d76b5172db5b5ca1f3ef649361db8bc785a77dde708a6c7104c0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1110.5897",
    "kind": "arxiv",
    "version": 1
  }
}