Pith Number

pith:DQL45Z3V

pith:2015:DQL45Z3VQ6ILW3ADXAFCMQCRPI

not attested not anchored not stored refs pending

Collinear CM-points

David Masser, Florian Luca, Yuri Bilu

arxiv:1503.08378 v4 · 2015-03-29 · 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{DQL45Z3VQ6ILW3ADXAFCMQCRPI}

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	2026-05-18T00:22:30.052462Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1c17cee7758790bb6c03b80a2640517a04158a21bace39a0b531aa07df6fea49

Aliases

arxiv: 1503.08378 · arxiv_version: 1503.08378v4 · doi: 10.48550/arxiv.1503.08378 · pith_short_12: DQL45Z3VQ6IL · pith_short_16: DQL45Z3VQ6ILW3AD · pith_short_8: DQL45Z3V

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/DQL45Z3VQ6ILW3ADXAFCMQCRPI \
  | 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: 1c17cee7758790bb6c03b80a2640517a04158a21bace39a0b531aa07df6fea49

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b74e6a8bd81b01eb1f62d6710533c0a671907f82eb84a0979859dc4d61572238",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2015-03-29T03:00:56Z",
    "title_canon_sha256": "204a1b1212563ccfeab6c6fbfe2143e5c7068b0148320dc693038294bd7a02c9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1503.08378",
    "kind": "arxiv",
    "version": 4
  }
}