Pith Number

pith:3VZNOF4P

pith:2014:3VZNOF4P7WAKYHABWP5XAAJKPJ

not attested not anchored not stored refs pending

Ordinary representations and companion points for U(3) in the indecomposable case

John Bergdall, Przemyslaw Chojecki

arxiv:1405.3026 v1 · 2014-05-13 · 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{3VZNOF4P7WAKYHABWP5XAAJKPJ}

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	2026-05-18T02:51:57.922280Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

dd72d7178ffd80ac1c01b3fb70012a7a5e477c22b3f90eee4841f9273fcf1d45

Aliases

arxiv: 1405.3026 · arxiv_version: 1405.3026v1 · doi: 10.48550/arxiv.1405.3026 · pith_short_12: 3VZNOF4P7WAK · pith_short_16: 3VZNOF4P7WAKYHAB · pith_short_8: 3VZNOF4P

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/3VZNOF4P7WAKYHABWP5XAAJKPJ \
  | 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: dd72d7178ffd80ac1c01b3fb70012a7a5e477c22b3f90eee4841f9273fcf1d45

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0f2fc7bc79bac4805b61d1291634644fa10674eaba6007c2575292bed3030660",
    "cross_cats_sorted": [
      "math.RT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2014-05-13T03:38:26Z",
    "title_canon_sha256": "6a9b9da5b291fb230bb7eb6daef6e53f7f9615152a42c2fd852d65d80448e4aa"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1405.3026",
    "kind": "arxiv",
    "version": 1
  }
}