Pith Number

pith:GDCEGQZA

pith:2015:GDCEGQZABTXLNORHYF6FGQNCUE

not attested not anchored not stored refs pending

Algebraic K-theory of group rings and the cyclotomic trace map

Holger Reich, John Rognes, Marco Varisco, Wolfgang Lueck

arxiv:1504.03674 v3 · 2015-04-14 · math.KT · math.AT · math.GT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{GDCEGQZABTXLNORHYF6FGQNCUE}

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	2026-05-18T01:04:09.496232Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

30c44343200ceeb6ba27c17c5341a2a138fb9dddf7a34bd9f22223ef3139a995

Aliases

arxiv: 1504.03674 · arxiv_version: 1504.03674v3 · doi: 10.48550/arxiv.1504.03674 · pith_short_12: GDCEGQZABTXL · pith_short_16: GDCEGQZABTXLNORH · pith_short_8: GDCEGQZA

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/GDCEGQZABTXLNORHYF6FGQNCUE \
  | 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: 30c44343200ceeb6ba27c17c5341a2a138fb9dddf7a34bd9f22223ef3139a995

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3cf5d4496da153ca96c7d595034d1915b42fcb517e4f0ea1801b94fdec6a5d27",
    "cross_cats_sorted": [
      "math.AT",
      "math.GT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.KT",
    "submitted_at": "2015-04-14T19:55:01Z",
    "title_canon_sha256": "43f5bdd282b03886734ad630d278b26754c3ff60c4b55858aac6737b427e1394"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1504.03674",
    "kind": "arxiv",
    "version": 3
  }
}