Pith Number

pith:VMBLUGV3

pith:2016:VMBLUGV3YQFP2VESMN2DE2S3UA

not attested not anchored not stored refs pending

On the computation of the HNF of a module over the ring of integers of a number field

Claus Fieker, Jean-Fran\c{c}ois Biasse, Tommy Hofmann

arxiv:1612.09428 v1 · 2016-12-30 · math.NT · cs.SC

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{VMBLUGV3YQFP2VESMN2DE2S3UA}

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	2026-05-18T00:53:41.540136Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ab02ba1abbc40afd54926374326a5ba0037d1cbae4f607e5f67bf07a48c7751b

Aliases

arxiv: 1612.09428 · arxiv_version: 1612.09428v1 · doi: 10.48550/arxiv.1612.09428 · pith_short_12: VMBLUGV3YQFP · pith_short_16: VMBLUGV3YQFP2VES · pith_short_8: VMBLUGV3

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/VMBLUGV3YQFP2VESMN2DE2S3UA \
  | 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: ab02ba1abbc40afd54926374326a5ba0037d1cbae4f607e5f67bf07a48c7751b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1a8d77f718790a2a1553272bf6f05ba424f45c80669ef8a35310affea8b79f7b",
    "cross_cats_sorted": [
      "cs.SC"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2016-12-30T09:15:17Z",
    "title_canon_sha256": "92bf21f2d7bc7603cd91c5d59ec519abdb3fc01db2005f14dfa54d385c6a7997"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1612.09428",
    "kind": "arxiv",
    "version": 1
  }
}