Pith Number

pith:LPYT3T46

pith:2019:LPYT3T463CYCZLQT34OBYBD4DT

not attested not anchored not stored refs pending

Level lowering: a Mazur principle in higher dimension

Pascal Boyer

arxiv:1908.07073 v5 · 2019-08-19 · 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{LPYT3T463CYCZLQT34OBYBD4DT}

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	2026-07-05T06:59:25.035875Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5bf13dcf9ed8b02cae13df1c1c047c1cfbb8d27217c78ffad90d86545821ef19

Aliases

arxiv: 1908.07073 · arxiv_version: 1908.07073v5 · doi: 10.48550/arxiv.1908.07073 · pith_short_12: LPYT3T463CYC · pith_short_16: LPYT3T463CYCZLQT · pith_short_8: LPYT3T46

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/LPYT3T463CYCZLQT34OBYBD4DT \
  | 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: 5bf13dcf9ed8b02cae13df1c1c047c1cfbb8d27217c78ffad90d86545821ef19

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "af8cd52c578745c2e62da614200c2bfa342c4d8c3ad00928ed8283248ec86010",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2019-08-19T21:11:41Z",
    "title_canon_sha256": "525d4cd5df9f09700369c6c015a8d3c444d18b2b458ed60bcfc0aebd278e6103"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1908.07073",
    "kind": "arxiv",
    "version": 5
  }
}