Pith Number

pith:2MI7BVGN

pith:2010:2MI7BVGNPDNM6CO4TBBQLA6ODT

not attested not anchored not stored refs pending

On the Ramanujan conjecture over number fields

Farrell Brumley, Valentin Blomer

arxiv:1003.0559 v4 · 2010-03-02 · 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{2MI7BVGNPDNM6CO4TBBQLA6ODT}

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	2026-05-18T04:26:54.137038Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d311f0d4cd78dacf09dc98430583ce1ce68938ac57bc9af39c1403f0480ec245

Aliases

arxiv: 1003.0559 · arxiv_version: 1003.0559v4 · doi: 10.48550/arxiv.1003.0559 · pith_short_12: 2MI7BVGNPDNM · pith_short_16: 2MI7BVGNPDNM6CO4 · pith_short_8: 2MI7BVGN

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/2MI7BVGNPDNM6CO4TBBQLA6ODT \
  | 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: d311f0d4cd78dacf09dc98430583ce1ce68938ac57bc9af39c1403f0480ec245

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d784488e3ff9e3a4555558b1b18a8e7210379d817a3ef60bea5838a63c2faf8a",
    "cross_cats_sorted": [
      "math.RT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2010-03-02T11:10:05Z",
    "title_canon_sha256": "6c1e04f9a26f0099cfbe08f18d4d042d9c5d7e894b5b33b4b17ee4e3646a11d5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1003.0559",
    "kind": "arxiv",
    "version": 4
  }
}