Pith Number

pith:X3UE7G6G

pith:2017:X3UE7G6GGM2C46BBG7A6YJCGYA

not attested not anchored not stored refs pending

On crystabelline deformation rings of $\mathrm{Gal}(\overline{\mathbb{Q}}_p/\mathbb{Q}_p)$ (with an appendix by Jack Shotton)

Vytautas Paskunas, Yongquan Hu

arxiv:1702.06019 v2 · 2017-02-20 · math.NT · math.RT

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{X3UE7G6GGM2C46BBG7A6YJCGYA}

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	2026-05-18T00:21:51.389025Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bee84f9bc633342e782137c1ec2446c001aae95841fa6a418574579ddf9b5b9a

Aliases

arxiv: 1702.06019 · arxiv_version: 1702.06019v2 · doi: 10.48550/arxiv.1702.06019 · pith_short_12: X3UE7G6GGM2C · pith_short_16: X3UE7G6GGM2C46BB · pith_short_8: X3UE7G6G

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/X3UE7G6GGM2C46BBG7A6YJCGYA \
  | 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: bee84f9bc633342e782137c1ec2446c001aae95841fa6a418574579ddf9b5b9a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "519243583369a9149f65b05a7a17287a06d2109afae033f066b1670b685ec3e8",
    "cross_cats_sorted": [
      "math.RT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2017-02-20T15:43:33Z",
    "title_canon_sha256": "68f4a4358fa57ac0bbabfa68f3986f8716590a6695981c7b6bc384d9e9527159"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1702.06019",
    "kind": "arxiv",
    "version": 2
  }
}