Pith Number

pith:OZDDF3HL

pith:2014:OZDDF3HLNTUIH3H33E3UDI2VVT

not attested not anchored not stored refs pending

Tate cycles on some quaternionic Shimura varieties mod p

Liang Xiao, Yichao Tian

arxiv:1410.2321 v4 · 2014-10-09 · 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{OZDDF3HLNTUIH3H33E3UDI2VVT}

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	2026-05-17T23:40:37.014110Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

764632eceb6ce883ecfbd93741a355acef3ee53b5091b4a9283c2c27715bbec6

Aliases

arxiv: 1410.2321 · arxiv_version: 1410.2321v4 · doi: 10.48550/arxiv.1410.2321 · pith_short_12: OZDDF3HLNTUI · pith_short_16: OZDDF3HLNTUIH3H3 · pith_short_8: OZDDF3HL

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/OZDDF3HLNTUIH3H33E3UDI2VVT \
  | 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: 764632eceb6ce883ecfbd93741a355acef3ee53b5091b4a9283c2c27715bbec6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1d5e4ae74e4b72e84328c9ea91de797d11aaba41a372eb64d88f66295b47f41e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2014-10-09T00:42:25Z",
    "title_canon_sha256": "fbc33b0ec9328642bd003a199b0f0e3d9926c26441e82150efac60a156bc71c6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1410.2321",
    "kind": "arxiv",
    "version": 4
  }
}