Pith Number

pith:XMTWXKLH

pith:2018:XMTWXKLHKK24SXWBNIC2G7CRDL

not attested not anchored not stored refs pending

Supersingular representations of rank 1 groups

Karol Koziol

arxiv:1808.08255 v2 · 2018-08-24 · math.RT · 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{XMTWXKLHKK24SXWBNIC2G7CRDL}

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	2026-05-17T23:47:12.549532Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bb276ba96752b5c95ec16a05a37c511ac8f6e86c375e86c4daabcbf2c27c49bb

Aliases

arxiv: 1808.08255 · arxiv_version: 1808.08255v2 · doi: 10.48550/arxiv.1808.08255 · pith_short_12: XMTWXKLHKK24 · pith_short_16: XMTWXKLHKK24SXWB · pith_short_8: XMTWXKLH

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/XMTWXKLHKK24SXWBNIC2G7CRDL \
  | 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: bb276ba96752b5c95ec16a05a37c511ac8f6e86c375e86c4daabcbf2c27c49bb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ab7b9ac0839d13aa3d4007491c1f9f9ca3a04fca82b5469b2cf7ba535e0a8361",
    "cross_cats_sorted": [
      "math.NT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2018-08-24T18:18:55Z",
    "title_canon_sha256": "1d3cc8fd77d0d78d5666ae7e904e073d392ba4dd62b0cbce34e13d043c92554d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1808.08255",
    "kind": "arxiv",
    "version": 2
  }
}