Pith Number

pith:XP6AZBCF

pith:2011:XP6AZBCFTJPHTJ7ABOVK76BD4J

not attested not anchored not stored refs pending

Lehmer's conjecture for matrices over the ring of integers of some imaginary quadratic fields

G. Taylor

arxiv:1103.4579 v1 · 2011-03-23 · 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{XP6AZBCFTJPHTJ7ABOVK76BD4J}

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	2026-05-18T04:26:01.776496Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bbfc0c84459a5e79a7e00baaaff823e26edbac88f200c51f8127ed6538e0c79c

Aliases

arxiv: 1103.4579 · arxiv_version: 1103.4579v1 · doi: 10.48550/arxiv.1103.4579 · pith_short_12: XP6AZBCFTJPH · pith_short_16: XP6AZBCFTJPHTJ7A · pith_short_8: XP6AZBCF

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/XP6AZBCFTJPHTJ7ABOVK76BD4J \
  | 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: bbfc0c84459a5e79a7e00baaaff823e26edbac88f200c51f8127ed6538e0c79c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "817d3010db78c124061d3940c35bdc7b10eb0e4e6844e4404f86a42e2a7fed92",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2011-03-23T17:21:18Z",
    "title_canon_sha256": "b4465e422cabd94c04252167dfd077feff8ffcabd33455d2415e774ba03f03ad"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1103.4579",
    "kind": "arxiv",
    "version": 1
  }
}