Pith Number

pith:33WYCHC5

pith:2011:33WYCHC5BNOSUR5BQ7O2OTAB5C

not attested not anchored not stored refs pending

The order of the reductions of an algebraic integer

Antonella Perucca

arxiv:1107.4595 v4 · 2011-07-22 · 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{33WYCHC5BNOSUR5BQ7O2OTAB5C}

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	2026-05-18T02:51:42.697049Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

deed811c5d0b5d2a47a187dda74c01e8924b63de5f806a5a6148bf746c422be5

Aliases

arxiv: 1107.4595 · arxiv_version: 1107.4595v4 · doi: 10.48550/arxiv.1107.4595 · pith_short_12: 33WYCHC5BNOS · pith_short_16: 33WYCHC5BNOSUR5B · pith_short_8: 33WYCHC5

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/33WYCHC5BNOSUR5BQ7O2OTAB5C \
  | 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: deed811c5d0b5d2a47a187dda74c01e8924b63de5f806a5a6148bf746c422be5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "17af30ebcb8c40e5fc999572f8685d5ad251c131904ee809db15fd309e8bc33e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2011-07-22T19:04:24Z",
    "title_canon_sha256": "2caa4457a069e46774bd9f28e491e1e511af21df2dfac27d9620ec531f086d65"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1107.4595",
    "kind": "arxiv",
    "version": 4
  }
}