Pith Number

pith:RIWAFP3H

pith:2011:RIWAFP3HNWSOYOKC5JOVKF77UP

not attested not anchored not stored refs pending

On the automorphy of $l$-adic Galois representations with small residual image

Jack Thorne

arxiv:1107.5989 v1 · 2011-07-29 · 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{RIWAFP3HNWSOYOKC5JOVKF77UP}

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	2026-05-18T04:16:40.062995Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8a2c02bf676da4ec3942ea5d5517ffa3cdac2a8f54219e7c24d67848f08406f5

Aliases

arxiv: 1107.5989 · arxiv_version: 1107.5989v1 · doi: 10.48550/arxiv.1107.5989 · pith_short_12: RIWAFP3HNWSO · pith_short_16: RIWAFP3HNWSOYOKC · pith_short_8: RIWAFP3H

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/RIWAFP3HNWSOYOKC5JOVKF77UP \
  | 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: 8a2c02bf676da4ec3942ea5d5517ffa3cdac2a8f54219e7c24d67848f08406f5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e1f26d99266cb307ecd19303e804f45d53a3829c10a3de852279ef89044a2650",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2011-07-29T15:01:10Z",
    "title_canon_sha256": "93e354be22022088eb14a508ca844a374147c123824f55a4e5ee493b7abca950"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1107.5989",
    "kind": "arxiv",
    "version": 1
  }
}