Pith Number

pith:VBSGOMRL

pith:2012:VBSGOMRLFQS6JLF2TALVFKSTA6

not attested not anchored not stored refs pending

New techniques for computing the ideal class group and a system of fundamental units in number fields

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

arxiv:1204.1294 v1 · 2012-04-05 · 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{VBSGOMRLFQS6JLF2TALVFKSTA6}

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	2026-05-18T03:58:26.991357Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a86467322b2c25e4acba981752aa5307984398015a669c713facfd8e5952bee7

Aliases

arxiv: 1204.1294 · arxiv_version: 1204.1294v1 · doi: 10.48550/arxiv.1204.1294 · pith_short_12: VBSGOMRLFQS6 · pith_short_16: VBSGOMRLFQS6JLF2 · pith_short_8: VBSGOMRL

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/VBSGOMRLFQS6JLF2TALVFKSTA6 \
  | 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: a86467322b2c25e4acba981752aa5307984398015a669c713facfd8e5952bee7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8ec6f7b1319116318a07bc368b054d1a65d3c7095829e849857a78ba150f399c",
    "cross_cats_sorted": [
      "cs.SC"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2012-04-05T18:17:30Z",
    "title_canon_sha256": "573ed10049ea88505f6766005278f0cba3eafdca0e7788a1ff226839590bb4bf"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1204.1294",
    "kind": "arxiv",
    "version": 1
  }
}