Pith Number

pith:PADBCQEG

pith:2023:PADBCQEG45F5KP6KIMBBDQT7NQ

not attested not anchored not stored refs pending

The classifying element for quotients of Fermat curves

Juanita Duque-Rosero, Rachel Pries

arxiv:2312.07710 v2 · 2023-12-12 · 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{PADBCQEG45F5KP6KIMBBDQT7NQ}

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	2026-07-05T08:08:53.454032Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7806114086e74bd53fca430211c27f6c049b69899c40acf11bc4c7ffe012d4af

Aliases

arxiv: 2312.07710 · arxiv_version: 2312.07710v2 · doi: 10.48550/arxiv.2312.07710 · pith_short_12: PADBCQEG45F5 · pith_short_16: PADBCQEG45F5KP6K · pith_short_8: PADBCQEG

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/PADBCQEG45F5KP6KIMBBDQT7NQ \
  | 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: 7806114086e74bd53fca430211c27f6c049b69899c40acf11bc4c7ffe012d4af

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ec450f8b191e994fec710babfb8b31ef71b813d2b3368d22d0033975d90237c5",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2023-12-12T20:15:43Z",
    "title_canon_sha256": "16245f1acfbcb5f23c02f17b8f3ed11434ea2073ba42a9f4874d189a86a7c53a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2312.07710",
    "kind": "arxiv",
    "version": 2
  }
}