Pith Number

pith:PLHJ6C6L

pith:2014:PLHJ6C6LGHW5FQOEZVSOOPESLZ

not attested not anchored not stored refs pending

Rational Products of Singular Moduli

Amalia Pizarro-Madariaga, Florian Luca, Yuri Bilu

arxiv:1410.1806 v2 · 2014-10-07 · 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{PLHJ6C6LGHW5FQOEZVSOOPESLZ}

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	2026-05-18T01:36:11.166797Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7ace9f0bcb31edd2c1c4cd64e73c925e6fdc29f7c4c82c64ba3d73b5324b23f0

Aliases

arxiv: 1410.1806 · arxiv_version: 1410.1806v2 · doi: 10.48550/arxiv.1410.1806 · pith_short_12: PLHJ6C6LGHW5 · pith_short_16: PLHJ6C6LGHW5FQOE · pith_short_8: PLHJ6C6L

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/PLHJ6C6LGHW5FQOEZVSOOPESLZ \
  | 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: 7ace9f0bcb31edd2c1c4cd64e73c925e6fdc29f7c4c82c64ba3d73b5324b23f0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d2edc75dfc0ed107ee6839848a6e7de73905f1b8362083c43f9698686acc677f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2014-10-07T16:54:44Z",
    "title_canon_sha256": "3c982b7955c18be8510698c6e2882daf3e83d9695b46b16b65eff209b37e474e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1410.1806",
    "kind": "arxiv",
    "version": 2
  }
}