Pith Number

pith:73K6T6G2

pith:2020:73K6T6G24VTBUG4T6AKSYT666C

not attested not anchored not stored refs pending

The "fundamental theorem" for the algebraic $K$-theory of strongly $\mathbb{Z}$-graded rings

Thomas Huettemann

arxiv:2003.01506 v2 · 2020-03-03 · math.KT · math.RA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{73K6T6G24VTBUG4T6AKSYT666C}

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	2026-05-21T02:04:44.493304Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fed5e9f8dae5661a1b93f0152c4fdef090c44c71c3b988894908071202f5d297

Aliases

arxiv: 2003.01506 · arxiv_version: 2003.01506v2 · doi: 10.48550/arxiv.2003.01506 · pith_short_12: 73K6T6G24VTB · pith_short_16: 73K6T6G24VTBUG4T · pith_short_8: 73K6T6G2

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/73K6T6G24VTBUG4T6AKSYT666C \
  | 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: fed5e9f8dae5661a1b93f0152c4fdef090c44c71c3b988894908071202f5d297

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "08cb5188dd7456cbea582bd6a6189d8316a760e0b2b3c6320768ffe41eebdd56",
    "cross_cats_sorted": [
      "math.RA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.KT",
    "submitted_at": "2020-03-03T14:05:47Z",
    "title_canon_sha256": "ee56bca3f4615d16188a2f18605c1575e2b967de94546af387cecc4584ce671e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2003.01506",
    "kind": "arxiv",
    "version": 2
  }
}