Pith Number

pith:4AUIFKKP

pith:2017:4AUIFKKPGR2AEWN2RVTQ45WIA2

not attested not anchored not stored refs pending

The action of the Hecke operators on the component groups of modular Jacobian varieties

Hwajong Yoo, Taekyung Kim

arxiv:1710.06095 v2 · 2017-10-17 · 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{4AUIFKKPGR2AEWN2RVTQ45WIA2}

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	2026-05-18T00:09:53.898145Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e02882a94f34740259ba8d670e76c8068105d6acef3a2af098c57964073b6172

Aliases

arxiv: 1710.06095 · arxiv_version: 1710.06095v2 · doi: 10.48550/arxiv.1710.06095 · pith_short_12: 4AUIFKKPGR2A · pith_short_16: 4AUIFKKPGR2AEWN2 · pith_short_8: 4AUIFKKP

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/4AUIFKKPGR2AEWN2RVTQ45WIA2 \
  | 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: e02882a94f34740259ba8d670e76c8068105d6acef3a2af098c57964073b6172

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "19d581fd55292cd5182718b20b041f40db382502f4ea30c733d17a807ec6cf08",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2017-10-17T04:51:45Z",
    "title_canon_sha256": "6db5267e0a994eb363894431178bb61609cdf3c6c7205e7ba57e939771b69b19"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1710.06095",
    "kind": "arxiv",
    "version": 2
  }
}