Pith Number

pith:HWMKDHQ6

pith:2014:HWMKDHQ66BODE2KEUDXHWJCCW3

not attested not anchored not stored refs pending

On the toplogical computation of K4 of the Gaussian and Eisenstein integers

Achill Schuermann, Dan Yasaki, Herbert Gangl, Jonathan Hanke, Mathieu Dutour Sikiric, Paul E. Gunnells

arxiv:1411.0584 v2 · 2014-11-03 · 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{HWMKDHQ66BODE2KEUDXHWJCCW3}

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	2026-05-18T00:08:36.899889Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3d98a19e1ef05c326944a0ee7b2442b6ef775aa62c3d6018769bc68f9c2dafb5

Aliases

arxiv: 1411.0584 · arxiv_version: 1411.0584v2 · doi: 10.48550/arxiv.1411.0584 · pith_short_12: HWMKDHQ66BOD · pith_short_16: HWMKDHQ66BODE2KE · pith_short_8: HWMKDHQ6

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/HWMKDHQ66BODE2KEUDXHWJCCW3 \
  | 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: 3d98a19e1ef05c326944a0ee7b2442b6ef775aa62c3d6018769bc68f9c2dafb5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2535d2ebe30eb05d0cd3f7038ac9b1667b738a05dc9588cd547e175007244e8d",
    "cross_cats_sorted": [
      "math.NT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.KT",
    "submitted_at": "2014-11-03T17:54:37Z",
    "title_canon_sha256": "49b94175cef80e780ac497893425d1002cc64e215fa97392641a7bd288de8a71"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1411.0584",
    "kind": "arxiv",
    "version": 2
  }
}