Pith Number

pith:BDNWHL3M

pith:2011:BDNWHL3MLWNL72M7WIXSHUUT4O

not attested not anchored not stored refs pending

K-theory of Equivariant Quantization

Xiang Tang, Yi-Jun Yao

arxiv:1112.3103 v2 · 2011-12-14 · 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{BDNWHL3MLWNL72M7WIXSHUUT4O}

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	2026-05-18T03:11:24.234276Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

08db63af6c5d9abfe99fb22f23d293e3839bbc909e199a698cd8d8da63d7fa45

Aliases

arxiv: 1112.3103 · arxiv_version: 1112.3103v2 · doi: 10.48550/arxiv.1112.3103 · pith_short_12: BDNWHL3MLWNL · pith_short_16: BDNWHL3MLWNL72M7 · pith_short_8: BDNWHL3M

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/BDNWHL3MLWNL72M7WIXSHUUT4O \
  | 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: 08db63af6c5d9abfe99fb22f23d293e3839bbc909e199a698cd8d8da63d7fa45

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "208e9a6302e966c51a193563ef34a39a5f90b17c8235f7a6205653e29105d22d",
    "cross_cats_sorted": [
      "math.KT",
      "math.QA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OA",
    "submitted_at": "2011-12-14T02:52:32Z",
    "title_canon_sha256": "b4c6669a95dc2813636d577f1c775334b0b8d2b2bf7418b514089355055c2a9b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1112.3103",
    "kind": "arxiv",
    "version": 2
  }
}