Pith Number

pith:RYQKQVBZ

pith:2015:RYQKQVBZQMRKMHH7FMCLKSRLG7

not attested not anchored not stored refs pending

A strong multiplicity one theorem for SL(2)

Jingsong Chai, Qing Zhang

arxiv:1511.00354 v1 · 2015-11-02 · 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{RYQKQVBZQMRKMHH7FMCLKSRLG7}

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	2026-05-18T00:44:09.943656Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8e20a854398322a61cff2b04b54a2b37c90df304654ad0341a2a49afdaacb220

Aliases

arxiv: 1511.00354 · arxiv_version: 1511.00354v1 · doi: 10.48550/arxiv.1511.00354 · pith_short_12: RYQKQVBZQMRK · pith_short_16: RYQKQVBZQMRKMHH7 · pith_short_8: RYQKQVBZ

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/RYQKQVBZQMRKMHH7FMCLKSRLG7 \
  | 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: 8e20a854398322a61cff2b04b54a2b37c90df304654ad0341a2a49afdaacb220

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9b6d5d1eb0ca13ed20f2cf2e496df893d980bd8fdd6580e11a401503747ea7e8",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2015-11-02T02:02:40Z",
    "title_canon_sha256": "9564f51d8b3b056abf40bea1f0b7c02c11f0dd95666627c86f4b61b69f434621"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1511.00354",
    "kind": "arxiv",
    "version": 1
  }
}