Pith Number

pith:QZVBQPWI

pith:2015:QZVBQPWIHMYCNFUB4ZA7X4OR5F

not attested not anchored not stored refs pending

Kisin modules with descent data and parahoric local models

Ana Caraiani, Brandon Levin

arxiv:1510.07503 v2 · 2015-10-26 · 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{QZVBQPWIHMYCNFUB4ZA7X4OR5F}

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	2026-05-18T00:26:13.138011Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

866a183ec83b30269681e641fbf1d1e97478f65c157ae896676436e096d5a41d

Aliases

arxiv: 1510.07503 · arxiv_version: 1510.07503v2 · doi: 10.48550/arxiv.1510.07503 · pith_short_12: QZVBQPWIHMYC · pith_short_16: QZVBQPWIHMYCNFUB · pith_short_8: QZVBQPWI

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/QZVBQPWIHMYCNFUB4ZA7X4OR5F \
  | 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: 866a183ec83b30269681e641fbf1d1e97478f65c157ae896676436e096d5a41d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9512fd3b2a859e8b9c8d207ae1f793a7c12d9aae2faff6e034577f1f54f32563",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2015-10-26T15:02:54Z",
    "title_canon_sha256": "2936ee7ceb5f45462dfbd9e4e1a38d7cae953ef015e039370920b835e7be0438"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1510.07503",
    "kind": "arxiv",
    "version": 2
  }
}