Pith Number

pith:ZBUHH7UC

pith:2019:ZBUHH7UCDZCZ2QGDERUMSZF4C5

not attested not anchored not stored refs pending

Limiting measures of supersingularities

Bodan Arsovski

arxiv:1911.12220 v3 · 2019-11-27 · 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{ZBUHH7UCDZCZ2QGDERUMSZF4C5}

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.

Cited by

1 paper in Pith

Reductions of some two-dimensional crystalline representations via Kisin modules

Receipt and verification

First computed	2026-07-05T02:20:53.342903Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c86873fe821e459d40c32468c964bc17405d8f8f108a1f20e82bbfe751f6a4d9

Aliases

arxiv: 1911.12220 · arxiv_version: 1911.12220v3 · doi: 10.48550/arxiv.1911.12220 · pith_short_12: ZBUHH7UCDZCZ · pith_short_16: ZBUHH7UCDZCZ2QGD · pith_short_8: ZBUHH7UC

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/ZBUHH7UCDZCZ2QGDERUMSZF4C5 \
  | 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: c86873fe821e459d40c32468c964bc17405d8f8f108a1f20e82bbfe751f6a4d9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5720d29dda0e1fa760419255547b813d9080630738d5fa65dcffee8166a19378",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2019-11-27T15:32:16Z",
    "title_canon_sha256": "6b4bd8f95f8b69fc4ed004d74b34036664985e1dc4e305bd031e330f3a7da601"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1911.12220",
    "kind": "arxiv",
    "version": 3
  }
}