Pith Number

pith:SAJRZ3NF

pith:2017:SAJRZ3NFZGUVVQXJJRVRHMQD3U

not attested not anchored not stored refs pending

K-theory of locally compact modules over rings of integers

Oliver Braunling

arxiv:1710.10819 v1 · 2017-10-30 · 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{SAJRZ3NFZGUVVQXJJRVRHMQD3U}

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	2026-05-18T00:31:46.403568Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

90131ceda5c9a95ac2e94c6b13b203dd263ee07997b136d2bbbd4ba1fa595eb4

Aliases

arxiv: 1710.10819 · arxiv_version: 1710.10819v1 · doi: 10.48550/arxiv.1710.10819 · pith_short_12: SAJRZ3NFZGUV · pith_short_16: SAJRZ3NFZGUVVQXJ · pith_short_8: SAJRZ3NF

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/SAJRZ3NFZGUVVQXJJRVRHMQD3U \
  | 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: 90131ceda5c9a95ac2e94c6b13b203dd263ee07997b136d2bbbd4ba1fa595eb4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2248557ad6ed730fbd70d90f93133bbdc34054735acaae85feed74a1d29e980a",
    "cross_cats_sorted": [
      "math.NT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.KT",
    "submitted_at": "2017-10-30T09:31:28Z",
    "title_canon_sha256": "9e3f9d354b2570e7994b1e10adb00ed23529bce3241f84d075cf8296a92218c6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1710.10819",
    "kind": "arxiv",
    "version": 1
  }
}