Pith Number

pith:7OCFXTPD

pith:2015:7OCFXTPDCDJ6YYXQL3PKRPKDKV

not attested not anchored not stored refs pending

Automorphy of some residually dihedral Galois representations

Jack A. Thorne

arxiv:1504.00994 v1 · 2015-04-04 · 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{7OCFXTPDCDJ6YYXQL3PKRPKDKV}

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	2026-05-18T02:19:35.418562Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fb845bcde310d3ec62f05edea8bd435556f679f3e8a1c6194ed8231c88bc44c8

Aliases

arxiv: 1504.00994 · arxiv_version: 1504.00994v1 · doi: 10.48550/arxiv.1504.00994 · pith_short_12: 7OCFXTPDCDJ6 · pith_short_16: 7OCFXTPDCDJ6YYXQ · pith_short_8: 7OCFXTPD

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/7OCFXTPDCDJ6YYXQL3PKRPKDKV \
  | 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: fb845bcde310d3ec62f05edea8bd435556f679f3e8a1c6194ed8231c88bc44c8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6334c72cc68c33f632f1c537868842bb53128dc68df9d624fbe6cf449d05399c",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2015-04-04T09:04:25Z",
    "title_canon_sha256": "fab6becd6952a4c59137027baf85ad9499a4b6254115400ff85853f0626a9b88"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1504.00994",
    "kind": "arxiv",
    "version": 1
  }
}