Pith Number

pith:F2RTSSEM

pith:2022:F2RTSSEMPXKBHELZWTKP6SSPV5

not attested not anchored not stored refs pending

The Hasse invariant of the Tate normal form $E_7$ and the supersingular polynomial for the Fricke group $\Gamma_0^*(7)$

Patrick Morton

arxiv:2206.09801 v5 · 2022-06-20 · 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{F2RTSSEMPXKBHELZWTKP6SSPV5}

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	2026-07-05T06:17:00.647931Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2ea339488c7dd4139179b4d4ff4a4faf4aef3f27f895a08a2452145379a1e049

Aliases

arxiv: 2206.09801 · arxiv_version: 2206.09801v5 · doi: 10.48550/arxiv.2206.09801 · pith_short_12: F2RTSSEMPXKB · pith_short_16: F2RTSSEMPXKBHELZ · pith_short_8: F2RTSSEM

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/F2RTSSEMPXKBHELZWTKP6SSPV5 \
  | 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: 2ea339488c7dd4139179b4d4ff4a4faf4aef3f27f895a08a2452145379a1e049

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9c55c2fbae318eeda4824e457607529806a9a46d43d3bd3c54e7ccd7037ae3ea",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2022-06-20T14:33:02Z",
    "title_canon_sha256": "1304dfe58f14e756e20534163fb411914eff622c7fe50fc1332e08d44e12b3b9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2206.09801",
    "kind": "arxiv",
    "version": 5
  }
}