Pith Number

pith:GCKOXAL7

pith:2015:GCKOXAL7V22IIE5GU5S2O2HPQQ

not attested not anchored not stored refs pending

A local converse Theorem for U(2,2)

Qing Zhang

arxiv:1509.00900 v2 · 2015-09-02 · 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{GCKOXAL7V22IIE5GU5S2O2HPQQ}

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	2026-05-18T00:44:10.008961Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3094eb817faeb48413a6a765a768ef840e8172e151b3c275d22e13758b1276bb

Aliases

arxiv: 1509.00900 · arxiv_version: 1509.00900v2 · doi: 10.48550/arxiv.1509.00900 · pith_short_12: GCKOXAL7V22I · pith_short_16: GCKOXAL7V22IIE5G · pith_short_8: GCKOXAL7

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/GCKOXAL7V22IIE5GU5S2O2HPQQ \
  | 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: 3094eb817faeb48413a6a765a768ef840e8172e151b3c275d22e13758b1276bb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3d2258b839a79ec772f1c165dbc075be2f5f439b0b71356158a27c9f2fc0a71d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2015-09-02T23:26:39Z",
    "title_canon_sha256": "e927bdf217a0905c96f3cb70f0dc5440d627fbe7cf06044591c7ccacc3cc5a8a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1509.00900",
    "kind": "arxiv",
    "version": 2
  }
}