Pith Number

pith:4CZY2MKC

pith:2016:4CZY2MKCNY7U75FAQL6SF57RBH

not attested not anchored not stored refs pending

Multiplicity One Theorem for the Ginzburg-Rallis Model: the tempered case

Chen Wan

arxiv:1608.03840 v1 · 2016-08-12 · 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{4CZY2MKCNY7U75FAQL6SF57RBH}

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	2026-05-18T01:09:11.215230Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e0b38d31426e3f4ff4a082fd22f7f109e7ecb77be86a0e3a759aad5da83787ce

Aliases

arxiv: 1608.03840 · arxiv_version: 1608.03840v1 · doi: 10.48550/arxiv.1608.03840 · pith_short_12: 4CZY2MKCNY7U · pith_short_16: 4CZY2MKCNY7U75FA · pith_short_8: 4CZY2MKC

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/4CZY2MKCNY7U75FAQL6SF57RBH \
  | 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: e0b38d31426e3f4ff4a082fd22f7f109e7ecb77be86a0e3a759aad5da83787ce

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "89777f50590e9d3f49c1dbe45a5ffb902ba8abaa700f6f379b53c7f2a123fd8a",
    "cross_cats_sorted": [
      "math.NT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2016-08-12T16:23:05Z",
    "title_canon_sha256": "f7823226a6524f09334bb6f87426fdc61de7f196b7521344ca7a9e96e6e9a9ea"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1608.03840",
    "kind": "arxiv",
    "version": 1
  }
}