Pith Number

pith:G5LWZVBE

pith:2012:G5LWZVBENIGRKZ55GZ6ETRR32U

not attested not anchored not stored refs pending

Modular forms and elliptic curves over the cubic field of discriminant -23

Dan Yasaki, Paul E. Gunnells

arxiv:1201.4132 v2 · 2012-01-19 · 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{G5LWZVBENIGRKZ55GZ6ETRR32U}

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	2026-05-18T03:52:50.787756Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

37576cd4246a0d1567bd367c49c63bd5074e61d5c7f8445af26ec07c56a8aa42

Aliases

arxiv: 1201.4132 · arxiv_version: 1201.4132v2 · doi: 10.48550/arxiv.1201.4132 · pith_short_12: G5LWZVBENIGR · pith_short_16: G5LWZVBENIGRKZ55 · pith_short_8: G5LWZVBE

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/G5LWZVBENIGRKZ55GZ6ETRR32U \
  | 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: 37576cd4246a0d1567bd367c49c63bd5074e61d5c7f8445af26ec07c56a8aa42

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6d8321f8046215680011b824ef1ce1b3b6659f710f795d03cece3e93d4fe8c98",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2012-01-19T18:19:33Z",
    "title_canon_sha256": "bcfe7d42a4c1143d5bfa5e1c7fd0a1474500c5ef5b67b1dfb05d2b9ab0956e2b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1201.4132",
    "kind": "arxiv",
    "version": 2
  }
}