Pith Number

pith:SG6WLNSN

pith:2013:SG6WLNSNJYODYPUMUIOSOW5LJG

not attested not anchored not stored refs pending

Criteria for irreducibility of mod p representations of Frey curves

Nuno Freitas, Samir Siksek

arxiv:1309.4748 v3 · 2013-09-18 · 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{SG6WLNSNJYODYPUMUIOSOW5LJG}

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	2026-05-18T02:47:31.490071Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

91bd65b64d4e1c3c3e8ca21d275bab49b470ace148053f1b82348a0ee231ee85

Aliases

arxiv: 1309.4748 · arxiv_version: 1309.4748v3 · doi: 10.48550/arxiv.1309.4748 · pith_short_12: SG6WLNSNJYOD · pith_short_16: SG6WLNSNJYODYPUM · pith_short_8: SG6WLNSN

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/SG6WLNSNJYODYPUMUIOSOW5LJG \
  | 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: 91bd65b64d4e1c3c3e8ca21d275bab49b470ace148053f1b82348a0ee231ee85

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7af85089282ff864cfa422b9f1cdfebbf4f13a10bbe714739ce8548220522345",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2013-09-18T19:09:12Z",
    "title_canon_sha256": "81e23f3ae788b014e19c805eb4172d0bc85f117f85a64a1863921116bb1f221f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1309.4748",
    "kind": "arxiv",
    "version": 3
  }
}