Pith Number

pith:U63GR6SH

pith:2026:U63GR6SHK2APSZI5M5AGA5ZYMR

not attested not anchored not stored refs pending

Generalized Fermat equation over cyclotomic $\mathbb{Z}_l$-extensions of totally real fields

Satyabrat Sahoo

arxiv:2605.20860 v1 · 2026-05-20 · 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{U63GR6SHK2APSZI5M5AGA5ZYMR}

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	2026-05-21T01:05:24.822810Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a7b668fa475680f9651d67406077386448dc0140f3c99093e6e764d84194b9c8

Aliases

arxiv: 2605.20860 · arxiv_version: 2605.20860v1 · doi: 10.48550/arxiv.2605.20860 · pith_short_12: U63GR6SHK2AP · pith_short_16: U63GR6SHK2APSZI5 · pith_short_8: U63GR6SH

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/U63GR6SHK2APSZI5M5AGA5ZYMR \
  | 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: a7b668fa475680f9651d67406077386448dc0140f3c99093e6e764d84194b9c8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "558ae092f099d549d5a766f3e6e5b6d9d80800016b235f72c1e4b0b092c263dc",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2026-05-20T07:52:51Z",
    "title_canon_sha256": "c474b054d3a060fc08b524ac89134b259b4efcee82421ffa4f6bb2a2a6e82b15"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2605.20860",
    "kind": "arxiv",
    "version": 1
  }
}