Pith Number

pith:ZF7FTACV

pith:2011:ZF7FTACVZA74IJH3HZQWJEJSSQ

not attested not anchored not stored refs pending

Twisted K-theory, K-homology and bivariant Chern-Connes type character of some infinite dimensional spaces

Snigdhayan Mahanta

arxiv:1104.4835 v4 · 2011-04-26 · math.KT · math-ph · math.MP · 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{ZF7FTACVZA74IJH3HZQWJEJSSQ}

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	2026-05-18T01:28:22.012788Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c97e598055c83fc424fb3e61649132942410d000195dfd210c1ed0507c035136

Aliases

arxiv: 1104.4835 · arxiv_version: 1104.4835v4 · doi: 10.48550/arxiv.1104.4835 · pith_short_12: ZF7FTACVZA74 · pith_short_16: ZF7FTACVZA74IJH3 · pith_short_8: ZF7FTACV

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/ZF7FTACVZA74IJH3HZQWJEJSSQ \
  | 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: c97e598055c83fc424fb3e61649132942410d000195dfd210c1ed0507c035136

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c0cb2d230dedf51221dcd116159b5e9a2fb4122ffcd4569fed5f1921e2cc7028",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP",
      "math.OA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.KT",
    "submitted_at": "2011-04-26T02:22:47Z",
    "title_canon_sha256": "14b1a0a3ac7df5ed744a8a489a77e54355e9328e10b2fdeb57612bc4c9d94ef8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1104.4835",
    "kind": "arxiv",
    "version": 4
  }
}