Pith Number

pith:LVDRCUK4

pith:2019:LVDRCUK4LDCDFQJ7WPLPEUVRLV

not attested not anchored not stored refs pending

Limit of torsion semi-stable Galois representations with unbounded weights

Hui Gao

arxiv:1905.08020 v1 · 2019-05-20 · 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{LVDRCUK4LDCDFQJ7WPLPEUVRLV}

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	2026-05-17T23:45:47.856801Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5d4711515c58c432c13fb3d6f252b15d4ad93cc4f1562697b1635994cef08c41

Aliases

arxiv: 1905.08020 · arxiv_version: 1905.08020v1 · doi: 10.48550/arxiv.1905.08020 · pith_short_12: LVDRCUK4LDCD · pith_short_16: LVDRCUK4LDCDFQJ7 · pith_short_8: LVDRCUK4

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/LVDRCUK4LDCDFQJ7WPLPEUVRLV \
  | 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: 5d4711515c58c432c13fb3d6f252b15d4ad93cc4f1562697b1635994cef08c41

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "08618e492a148a1d1124d4e60f3ae30770a324598d9e54669679b48600e34d3e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2019-05-20T12:10:23Z",
    "title_canon_sha256": "04299d37fc6a9605660a4557a25aeb6a7db6ddb2afcd8baab6dd74d01c16ccc9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1905.08020",
    "kind": "arxiv",
    "version": 1
  }
}