Pith Number

pith:UWUMXMGJ

pith:2015:UWUMXMGJFR2EYYQ63YIWFAQXQ3

not attested not anchored not stored refs pending

On the torsion part in the K-theory of imaginary quadratic fields

Vincent Emery

arxiv:1504.01912 v2 · 2015-04-08 · math.KT · 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{UWUMXMGJFR2EYYQ63YIWFAQXQ3}

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	2026-05-18T02:03:54.660962Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a5a8cbb0c92c744c621ede1162821786cfe8860a234eee0840df53ebea3d58b3

Aliases

arxiv: 1504.01912 · arxiv_version: 1504.01912v2 · doi: 10.48550/arxiv.1504.01912 · pith_short_12: UWUMXMGJFR2E · pith_short_16: UWUMXMGJFR2EYYQ6 · pith_short_8: UWUMXMGJ

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/UWUMXMGJFR2EYYQ63YIWFAQXQ3 \
  | 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: a5a8cbb0c92c744c621ede1162821786cfe8860a234eee0840df53ebea3d58b3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "72dfb3acc8aa5e7d36a174b842e6275e400831a217b35386658a6e747af9e724",
    "cross_cats_sorted": [
      "math.NT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.KT",
    "submitted_at": "2015-04-08T10:58:01Z",
    "title_canon_sha256": "983b5c9fd670ea75e974313de4bf948f5275aab462e7e17155e6e4e03bc9b5c4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1504.01912",
    "kind": "arxiv",
    "version": 2
  }
}