Pith Number

pith:ZW25XONW

pith:2020:ZW25XONWJLJSIFKOL7Q4SKA5ZP

not attested not anchored not stored refs pending

Witt vectors with coefficients and characteristic polynomials over non-commutative rings

Achim Krause, Emanuele Dotto, Irakli Patchkoria, Thomas Nikolaus

arxiv:2002.01538 v1 · 2020-02-04 · math.KT · math.AT · math.NT · 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{ZW25XONWJLJSIFKOL7Q4SKA5ZP}

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	2026-07-05T00:38:38.121990Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cdb5dbb9b64ad324154e5fe1c9281dcbef9fef016c0bd0d52f6ac1d689cf0e38

Aliases

arxiv: 2002.01538 · arxiv_version: 2002.01538v1 · doi: 10.48550/arxiv.2002.01538 · pith_short_12: ZW25XONWJLJS · pith_short_16: ZW25XONWJLJSIFKO · pith_short_8: ZW25XONW

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/ZW25XONWJLJSIFKOL7Q4SKA5ZP \
  | 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: cdb5dbb9b64ad324154e5fe1c9281dcbef9fef016c0bd0d52f6ac1d689cf0e38

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "681c41bd7bb015002092da16e990373adb5e4032948d1883897f4efb83e90dc0",
    "cross_cats_sorted": [
      "math.AT",
      "math.NT",
      "math.RA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.KT",
    "submitted_at": "2020-02-04T21:16:17Z",
    "title_canon_sha256": "9dabdaa12e98dfd41ccc46d3e09b3cbaa589af85b949ac4103e24406bb82af50"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2002.01538",
    "kind": "arxiv",
    "version": 1
  }
}