Pith Number

pith:QZO4C7CM

pith:2016:QZO4C7CMZXGDIQZEOBBUUIVQ7U

not attested not anchored not stored refs pending

Deformation rings and parabolic induction

Claus Sorensen, Julien Hauseux, Tobias Schmidt

arxiv:1607.02602 v2 · 2016-07-09 · math.RT · 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{QZO4C7CMZXGDIQZEOBBUUIVQ7U}

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	2026-05-17T23:56:56.143472Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

865dc17c4ccdcc34432470434a22b0fd13b78a4c3c0844341e642ae420fcf6c0

Aliases

arxiv: 1607.02602 · arxiv_version: 1607.02602v2 · doi: 10.48550/arxiv.1607.02602 · pith_short_12: QZO4C7CMZXGD · pith_short_16: QZO4C7CMZXGDIQZE · pith_short_8: QZO4C7CM

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/QZO4C7CMZXGDIQZEOBBUUIVQ7U \
  | 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: 865dc17c4ccdcc34432470434a22b0fd13b78a4c3c0844341e642ae420fcf6c0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cfb1dc208d2d57b652b1ee8ef009ea36adb28bcf824b737a6611a7eb0b5004d7",
    "cross_cats_sorted": [
      "math.NT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2016-07-09T12:02:18Z",
    "title_canon_sha256": "5c80070b91549bd3dfae6f5b75f7d27e8e6848f3d27527b37c8ac990554ee716"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1607.02602",
    "kind": "arxiv",
    "version": 2
  }
}