Pith Number

pith:Z45YE7OB

pith:2015:Z45YE7OBP6G3X7XY64UXBIP4LB

not attested not anchored not stored refs pending

Four-Dimensional Algebraic Tori

Nicole Lemire

arxiv:1511.00315 v3 · 2015-11-01 · math.AG · 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{Z45YE7OBP6G3X7XY64UXBIP4LB}

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

Rationality problem for norm one tori of tensor products of \'etale algebras and Hasse norm principle

Receipt and verification

First computed	2026-05-18T00:38:40.121839Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cf3b827dc17f8dbbfef8f72970a1fc585c4ef5b252f68dbad1ea908e34e48735

Aliases

arxiv: 1511.00315 · arxiv_version: 1511.00315v3 · doi: 10.48550/arxiv.1511.00315 · pith_short_12: Z45YE7OBP6G3 · pith_short_16: Z45YE7OBP6G3X7XY · pith_short_8: Z45YE7OB

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/Z45YE7OBP6G3X7XY64UXBIP4LB \
  | 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: cf3b827dc17f8dbbfef8f72970a1fc585c4ef5b252f68dbad1ea908e34e48735

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ae0dc234b6ac0ed38405aa636be966add2d09210db8f41649181eac7da79e629",
    "cross_cats_sorted": [
      "math.NT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2015-11-01T22:03:23Z",
    "title_canon_sha256": "e9472e1268551ca0a5d8322535f5fd0335b6add7d339ac0fa6c39865131158dd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1511.00315",
    "kind": "arxiv",
    "version": 3
  }
}