Pith Number

pith:TDIC3WVV

pith:2016:TDIC3WVVHHSZVL2LBYOQC625VP

not attested not anchored not stored refs pending

Quantitative $K$-theory for Banach algebras

Yeong Chyuan Chung

arxiv:1611.08790 v2 · 2016-11-27 · math.KT · 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{TDIC3WVVHHSZVL2LBYOQC625VP}

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	2026-05-18T00:19:53.839738Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

98d02ddab539e59aaf4b0e1d017b5dabddea6b0619c1ef709dc7c2d18691751f

Aliases

arxiv: 1611.08790 · arxiv_version: 1611.08790v2 · doi: 10.48550/arxiv.1611.08790 · pith_short_12: TDIC3WVVHHSZ · pith_short_16: TDIC3WVVHHSZVL2L · pith_short_8: TDIC3WVV

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/TDIC3WVVHHSZVL2LBYOQC625VP \
  | 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: 98d02ddab539e59aaf4b0e1d017b5dabddea6b0619c1ef709dc7c2d18691751f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e9da5232738b0a61714ba09753276e75f6fd2a606811791f24562b0a9992c2e5",
    "cross_cats_sorted": [
      "math.OA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.KT",
    "submitted_at": "2016-11-27T05:09:08Z",
    "title_canon_sha256": "41102c4491dde678cc0d62001e276a104e55f8350381ebd188657a99c5bef02d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1611.08790",
    "kind": "arxiv",
    "version": 2
  }
}