Pith Number

pith:PCBLMMEE

pith:2002:PCBLMMEEJEYMD35BPX7RVZPLZA

not attested not anchored not stored refs pending

Existence of Ramanujan primes for GL(3)

Dinakar Ramakrishnan

arxiv:math/0209140 v2 · 2002-09-12 · 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{PCBLMMEEJEYMD35BPX7RVZPLZA}

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	2026-07-04T14:36:26.281223Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7882b630844930c1efa17dff1ae5ebc8264bfb60e2f773973b6dd422e134899b

Aliases

arxiv: math/0209140 · arxiv_version: math/0209140v2 · doi: 10.48550/arxiv.math/0209140 · pith_short_12: PCBLMMEEJEYM · pith_short_16: PCBLMMEEJEYMD35B · pith_short_8: PCBLMMEE

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/PCBLMMEEJEYMD35BPX7RVZPLZA \
  | 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: 7882b630844930c1efa17dff1ae5ebc8264bfb60e2f773973b6dd422e134899b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b6e38256d75f1d6baf896760ba6e3d4e72cc550965650bd004747b71417957e3",
    "cross_cats_sorted": [
      "math.RT"
    ],
    "license": "",
    "primary_cat": "math.NT",
    "submitted_at": "2002-09-12T06:53:25Z",
    "title_canon_sha256": "d85ac43757d785feb06aeba14f9dce1bde313d5f6d30fef3a30e1a85651cac88"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0209140",
    "kind": "arxiv",
    "version": 2
  }
}