Pith Number

pith:MALUZYNG

pith:2019:MALUZYNG3FJLRVLW3I7YBTH6O3

not attested not anchored not stored refs pending

Facets of the Witt Vectors

Jonathan A. Campbell

arxiv:1910.10206 v1 · 2019-10-22 · math.AT · math.NT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{MALUZYNG3FJLRVLW3I7YBTH6O3}

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.

Cited by

1 paper in Pith

Frobenius and Verschiebung for $K$-theory of endomorphisms

Receipt and verification

First computed	2026-07-05T00:14:22.777583Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

60174ce1a6d952b8d576da3f80ccfe76ef6e800b40dc53d06b3a01f45c13fc5a

Aliases

arxiv: 1910.10206 · arxiv_version: 1910.10206v1 · doi: 10.48550/arxiv.1910.10206 · pith_short_12: MALUZYNG3FJL · pith_short_16: MALUZYNG3FJLRVLW · pith_short_8: MALUZYNG

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/MALUZYNG3FJLRVLW3I7YBTH6O3 \
  | 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: 60174ce1a6d952b8d576da3f80ccfe76ef6e800b40dc53d06b3a01f45c13fc5a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "65a352ca8e30dfc6e87c3da0a127335ace5965a05e9d996fa03dddd414aa2164",
    "cross_cats_sorted": [
      "math.NT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AT",
    "submitted_at": "2019-10-22T19:45:07Z",
    "title_canon_sha256": "02a3506998ad1248a1191f73d2b7f66c93ef7d9fd716826341b77f1ab188ff53"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1910.10206",
    "kind": "arxiv",
    "version": 1
  }
}