Pith Number

pith:2LFHVSAG

pith:2019:2LFHVSAGS3FOY5LDM5PCRO32EW

not attested not anchored not stored refs pending

Drinfeld-Stuhler modules and the Hasse principle

Keisuke Arai, Mihran Papikian, Satoshi Kondo

arxiv:1908.08678 v1 · 2019-08-23 · 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{2LFHVSAGS3FOY5LDM5PCRO32EW}

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	2026-07-04T23:59:16.654909Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d2ca7ac80696caec7563675e28bb7a25b5a8b9a9336a3259646fc8774c50e2ac

Aliases

arxiv: 1908.08678 · arxiv_version: 1908.08678v1 · doi: 10.48550/arxiv.1908.08678 · pith_short_12: 2LFHVSAGS3FO · pith_short_16: 2LFHVSAGS3FOY5LD · pith_short_8: 2LFHVSAG

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/2LFHVSAGS3FOY5LDM5PCRO32EW \
  | 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: d2ca7ac80696caec7563675e28bb7a25b5a8b9a9336a3259646fc8774c50e2ac

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c9e4a7e40f9203439005b9088de466c315624a2659fe85dc448a3169de800185",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2019-08-23T06:16:37Z",
    "title_canon_sha256": "f946251cf4bea0948536b7fae90b385c6bb743bfe51984ec3900e5a4e37188a4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1908.08678",
    "kind": "arxiv",
    "version": 1
  }
}