Pith Number

pith:44Y36ESO

pith:2016:44Y36ESOMRNNHPAVL3XNJ4VFNW

not attested not anchored not stored refs pending

The twisting Sato-Tate group of the curve $y^2 = x^{8} - 14x^4 + 1$

Aaron Landesman, Davide Lombardo, Jackson S. Morrow, Sonny Arora, Victoria Cantoral-Farf\'an

arxiv:1608.06784 v2 · 2016-08-24 · 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{44Y36ESOMRNNHPAVL3XNJ4VFNW}

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	2026-05-18T00:39:29.029597Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e731bf124e645ad3bc155eeed4f2a56d8f64ce99645e781eb542cf6a74535ea8

Aliases

arxiv: 1608.06784 · arxiv_version: 1608.06784v2 · doi: 10.48550/arxiv.1608.06784 · pith_short_12: 44Y36ESOMRNN · pith_short_16: 44Y36ESOMRNNHPAV · pith_short_8: 44Y36ESO

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/44Y36ESOMRNNHPAVL3XNJ4VFNW \
  | 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: e731bf124e645ad3bc155eeed4f2a56d8f64ce99645e781eb542cf6a74535ea8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a26395d03603472e56853c8d29908544294f206792f978e64cd848be4a94f5b4",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2016-08-24T11:43:03Z",
    "title_canon_sha256": "ed0cb87742c48070f69f078265bc6bec2aba54934920c4ebe63b0f4bd491d3a4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1608.06784",
    "kind": "arxiv",
    "version": 2
  }
}