Pith Number

pith:QPT6AVUP

pith:2011:QPT6AVUPO5ZLMSQKSKWHZ3SAXC

not attested not anchored not stored refs pending

On the algebraic K-theory of Witt vectors of finite length

Vigleik Angeltveit

arxiv:1101.1866 v4 · 2011-01-10 · math.AT · 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{QPT6AVUPO5ZLMSQKSKWHZ3SAXC}

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	2026-05-18T02:19:36.647970Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

83e7e0568f7772b64a0a92ac7cee40b8ae31b0ae8233b7437167aa241753187c

Aliases

arxiv: 1101.1866 · arxiv_version: 1101.1866v4 · doi: 10.48550/arxiv.1101.1866 · pith_short_12: QPT6AVUPO5ZL · pith_short_16: QPT6AVUPO5ZLMSQK · pith_short_8: QPT6AVUP

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/QPT6AVUPO5ZLMSQKSKWHZ3SAXC \
  | 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: 83e7e0568f7772b64a0a92ac7cee40b8ae31b0ae8233b7437167aa241753187c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1f0dcda926f8fbe97cd6868370d35e8b8c1ebbf54d0d84a8007404e7d5ba5ad4",
    "cross_cats_sorted": [
      "math.KT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AT",
    "submitted_at": "2011-01-10T16:14:00Z",
    "title_canon_sha256": "a3156b400d40b997870166d6b11749608d7b83b9d6f89aa9b5a006329a218cf3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1101.1866",
    "kind": "arxiv",
    "version": 4
  }
}