Pith Number

pith:YLZZKPC4

pith:2015:YLZZKPC4WM7PCMRUX7LZEHCSXC

not attested not anchored not stored refs pending

The K-theory of twisted multipullback quantum odd spheres and complex projective spaces

Aidan Sims, Bartosz Zieli\'nski, David Pask, Piotr M. Hajac, Ryszard Nest

arxiv:1512.08816 v3 · 2015-12-30 · 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{YLZZKPC4WM7PCMRUX7LZEHCSXC}

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	2026-05-18T00:27:03.100100Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c2f3953c5cb33ef13234bfd7921c52b882c72cda223cb0c61853904105c78347

Aliases

arxiv: 1512.08816 · arxiv_version: 1512.08816v3 · doi: 10.48550/arxiv.1512.08816 · pith_short_12: YLZZKPC4WM7P · pith_short_16: YLZZKPC4WM7PCMRU · pith_short_8: YLZZKPC4

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/YLZZKPC4WM7PCMRUX7LZEHCSXC \
  | 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: c2f3953c5cb33ef13234bfd7921c52b882c72cda223cb0c61853904105c78347

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d20e5891ef9de0e421d2ff4657c861e03f41f50f9d1f6a43795ceff7d0ba3380",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.KT",
    "submitted_at": "2015-12-30T00:00:06Z",
    "title_canon_sha256": "15667c5456f2d39221091952e0b1793f4cdb5ebe87b6ba00de7eadc7d8ac6421"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1512.08816",
    "kind": "arxiv",
    "version": 3
  }
}