Pith Number

pith:KKGOCDWX

pith:2015:KKGOCDWXVTVNITHYOSI3KUFM2T

not attested not anchored not stored refs pending

Automorphy of some residually S_5 Galois representations

Chandrashekhar B. Khare, Jack A. Thorne

arxiv:1503.03796 v1 · 2015-03-12 · 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{KKGOCDWXVTVNITHYOSI3KUFM2T}

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	2026-05-18T02:24:27.292928Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

528ce10ed7acead44cf87491b550acd4e357404d1ff2c503a32496b3c0610c9f

Aliases

arxiv: 1503.03796 · arxiv_version: 1503.03796v1 · doi: 10.48550/arxiv.1503.03796 · pith_short_12: KKGOCDWXVTVN · pith_short_16: KKGOCDWXVTVNITHY · pith_short_8: KKGOCDWX

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/KKGOCDWXVTVNITHYOSI3KUFM2T \
  | 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: 528ce10ed7acead44cf87491b550acd4e357404d1ff2c503a32496b3c0610c9f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bc2a26344891bb61ef2a64610647081e627f3a56f2892e1a8134c1ac3cbc206f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2015-03-12T16:19:02Z",
    "title_canon_sha256": "f894d4b0e535d3700c5dae3e449e2fa728d9b1138e88a761e9dc919d685b4da9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1503.03796",
    "kind": "arxiv",
    "version": 1
  }
}