Pith Number

pith:FNJL544I

pith:2009:FNJL544IZAGCJQVEU4V3YYBA3I

not attested not anchored not stored refs pending

Detecting lacunary perfect powers and computing their roots

Daniel S. Roche, Mark Giesbrecht

arxiv:0901.1848 v2 · 2009-01-13 · cs.SC

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{FNJL544IZAGCJQVEU4V3YYBA3I}

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	2026-05-18T02:24:56.581009Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2b52bef388c80c24c2a4a72bbc6020da055b5ea5831dc4d67697f470ea8e9bbc

Aliases

arxiv: 0901.1848 · arxiv_version: 0901.1848v2 · doi: 10.48550/arxiv.0901.1848 · pith_short_12: FNJL544IZAGC · pith_short_16: FNJL544IZAGCJQVE · pith_short_8: FNJL544I

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/FNJL544IZAGCJQVEU4V3YYBA3I \
  | 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: 2b52bef388c80c24c2a4a72bbc6020da055b5ea5831dc4d67697f470ea8e9bbc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ab0bc8eb14b098c9763d09da785f31b5a713132dc876ed3797fea0ed8061960e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.SC",
    "submitted_at": "2009-01-13T18:44:43Z",
    "title_canon_sha256": "40dfdebc020f6c23fd52c780cd386898037b7332570e3b8f4f1505bb93a0d58b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0901.1848",
    "kind": "arxiv",
    "version": 2
  }
}