Pith Number

pith:I7TCHMCY

pith:2017:I7TCHMCYFKRAWUJBQLVYJQOSSA

not attested not anchored not stored refs pending

Linear independence of powers of singular moduli of degree 3

Antonin Riffaut, Florian Luca

arxiv:1712.06929 v1 · 2017-12-19 · 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{I7TCHMCYFKRAWUJBQLVYJQOSSA}

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	2026-05-18T00:27:37.709745Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

47e623b0582aa20b512182eb84c1d290065d911c131a9bfe0233556b5bab64c4

Aliases

arxiv: 1712.06929 · arxiv_version: 1712.06929v1 · doi: 10.48550/arxiv.1712.06929 · pith_short_12: I7TCHMCYFKRA · pith_short_16: I7TCHMCYFKRAWUJB · pith_short_8: I7TCHMCY

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/I7TCHMCYFKRAWUJBQLVYJQOSSA \
  | 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: 47e623b0582aa20b512182eb84c1d290065d911c131a9bfe0233556b5bab64c4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "327d59e8c638e85919fd667a309e33246c26adabf7dd7148ba4d0045e7d26699",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2017-12-19T13:55:08Z",
    "title_canon_sha256": "538d0ae2ce4676cfa7479ed8872e40e238a7a6676f1bed1952a862f4a69ea848"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1712.06929",
    "kind": "arxiv",
    "version": 1
  }
}