Pith Number

pith:NVJBUA2L

pith:2015:NVJBUA2LFVWPOMH3I76QOO7B4R

not attested not anchored not stored refs pending

Criteria for the Existence of Cuspidal Theta Representations

David Ginzburg, Solomon Friedberg

arxiv:1507.07413 v1 · 2015-07-27 · math.NT · math.RT

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{NVJBUA2LFVWPOMH3I76QOO7B4R}

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	2026-05-17T23:48:34.785475Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6d521a034b2d6cf730fb47fd073be1e44311288d61d9c2805f2496829db6921a

Aliases

arxiv: 1507.07413 · arxiv_version: 1507.07413v1 · doi: 10.48550/arxiv.1507.07413 · pith_short_12: NVJBUA2LFVWP · pith_short_16: NVJBUA2LFVWPOMH3 · pith_short_8: NVJBUA2L

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/NVJBUA2LFVWPOMH3I76QOO7B4R \
  | 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: 6d521a034b2d6cf730fb47fd073be1e44311288d61d9c2805f2496829db6921a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0a7d3ea2b8c7d361c1fce42df2775ee6cfd7078f844c878c79cf51de29ffd037",
    "cross_cats_sorted": [
      "math.RT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2015-07-27T14:31:28Z",
    "title_canon_sha256": "c51a2604f2d07e1979eafa79c306f562499f44c0fd644a39009806fce1112f36"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1507.07413",
    "kind": "arxiv",
    "version": 1
  }
}