Pith Number

pith:AXNLPCFC

pith:2010:AXNLPCFC2JC4NDPJNSLDOBNINX

not attested not anchored not stored refs pending

Automorphic Forms, Cohomology and CAP Representations. The Case $GL_2$ over a definite quaternion algebra

Harald Grobner

arxiv:1003.2326 v5 · 2010-03-11 · 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{AXNLPCFC2JC4NDPJNSLDOBNINX}

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	2026-05-18T04:12:18.746557Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

05dab788a2d245c68de96c963705a86def054a97a04959c1664d4697351ac1b9

Aliases

arxiv: 1003.2326 · arxiv_version: 1003.2326v5 · doi: 10.48550/arxiv.1003.2326 · pith_short_12: AXNLPCFC2JC4 · pith_short_16: AXNLPCFC2JC4NDPJ · pith_short_8: AXNLPCFC

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/AXNLPCFC2JC4NDPJNSLDOBNINX \
  | 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: 05dab788a2d245c68de96c963705a86def054a97a04959c1664d4697351ac1b9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "67bb3b546998897e3eaa1d1a7b7845896b9fafcffcdf029ccdb9f93bd33fbf6f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2010-03-11T13:01:31Z",
    "title_canon_sha256": "090f10732441eaad528c0986e6822a82bb0c98865aa9f1aad387abe37eb8ce88"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1003.2326",
    "kind": "arxiv",
    "version": 5
  }
}