Pith Number

pith:DKKC37KP

pith:2015:DKKC37KPW5SGN6UI4I7KR6Y3MW

not attested not anchored not stored refs pending

The number of maximal torsion cosets in subvarieties of tori

C\'esar Mart\'inez

arxiv:1509.05898 v1 · 2015-09-19 · 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{DKKC37KPW5SGN6UI4I7KR6Y3MW}

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	2026-05-18T01:32:36.430010Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1a942dfd4fb76466fa88e23ea8fb1b65a773005c3db6677c46e48d99d5d8ade2

Aliases

arxiv: 1509.05898 · arxiv_version: 1509.05898v1 · doi: 10.48550/arxiv.1509.05898 · pith_short_12: DKKC37KPW5SG · pith_short_16: DKKC37KPW5SGN6UI · pith_short_8: DKKC37KP

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/DKKC37KPW5SGN6UI4I7KR6Y3MW \
  | 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: 1a942dfd4fb76466fa88e23ea8fb1b65a773005c3db6677c46e48d99d5d8ade2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "dffcaf377505b59473401360bdfbfc5606cfe1d1523d866d3685d9b0475e9f65",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2015-09-19T14:28:35Z",
    "title_canon_sha256": "f9e9a04c13a162a168e297439d8e744ccc61210f850c7b39b0e1e7798b90cca2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1509.05898",
    "kind": "arxiv",
    "version": 1
  }
}