Pith Number

pith:JAFMHG5H

pith:2013:JAFMHG5HHKRTVR6CIPOYEMO4ES

not attested not anchored not stored refs pending

Th\'eor\`eme de Chebotarev effectif

Bruno Winckler

arxiv:1311.5715 v1 · 2013-11-22 · 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{JAFMHG5HHKRTVR6CIPOYEMO4ES}

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.

Cited by

1 paper in Pith

Explicit counting of ideals in number fields of arbitrary degree

Receipt and verification

First computed	2026-05-18T03:06:23.464413Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

480ac39ba73aa33ac7c243dd8231dc249ea16c28b22bafc2a09a62253a19bb56

Aliases

arxiv: 1311.5715 · arxiv_version: 1311.5715v1 · doi: 10.48550/arxiv.1311.5715 · pith_short_12: JAFMHG5HHKRT · pith_short_16: JAFMHG5HHKRTVR6C · pith_short_8: JAFMHG5H

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/JAFMHG5HHKRTVR6CIPOYEMO4ES \
  | 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: 480ac39ba73aa33ac7c243dd8231dc249ea16c28b22bafc2a09a62253a19bb56

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b59a5edcbe079d06ae00b7af43017f14935ea3a5c6461485234267efe80d5cdd",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2013-11-22T11:06:57Z",
    "title_canon_sha256": "bbca6ac35d4f682e03def2f5f9c39de438ea38be2f801857dd62054fd8843234"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1311.5715",
    "kind": "arxiv",
    "version": 1
  }
}