Pith Number

pith:DYLEHJLK

pith:2018:DYLEHJLKWJHVQSP4BV76CSAVRU

not attested not anchored not stored refs pending

An explicit form of the canonical submodule of a Drinfeld module

Satoshi Kondo, Yusuke Sugiyama

arxiv:1803.01981 v1 · 2018-03-06 · 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{DYLEHJLKWJHVQSP4BV76CSAVRU}

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	2026-05-18T00:21:56.155546Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1e1643a56ab24f5849fc0d7fe148158d2bce7e9c6c490050b4fd4e3ac242016e

Aliases

arxiv: 1803.01981 · arxiv_version: 1803.01981v1 · doi: 10.48550/arxiv.1803.01981 · pith_short_12: DYLEHJLKWJHV · pith_short_16: DYLEHJLKWJHVQSP4 · pith_short_8: DYLEHJLK

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/DYLEHJLKWJHVQSP4BV76CSAVRU \
  | 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: 1e1643a56ab24f5849fc0d7fe148158d2bce7e9c6c490050b4fd4e3ac242016e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1a3a6476bafa7d6cecfb8479fd5e30abde75afa1f439de1b87d021272e0ffeec",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2018-03-06T01:38:39Z",
    "title_canon_sha256": "06d435f5a55e7432753af0362a66d8f940bae4e52ab0673d2d7ae288550a1c9e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1803.01981",
    "kind": "arxiv",
    "version": 1
  }
}