Pith Number

pith:FG45KWRZ

pith:2003:FG45KWRZW6A2COWJXFY53TEFFO

not attested not anchored not stored refs pending

A cuspidality criterion for the functorial product on GL(2) x GL(3), with a cohomological application

Dinakar Ramakrishnan, Song Wang

arxiv:math/0310163 v1 · 2003-10-11 · 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{FG45KWRZW6A2COWJXFY53TEFFO}

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	2026-07-04T14:37:47.087242Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

29b9d55a39b781a13ac9b971ddcc852bb6cfd01c03b34144845b8360a7987dc0

Aliases

arxiv: math/0310163 · arxiv_version: math/0310163v1 · doi: 10.48550/arxiv.math/0310163 · pith_short_12: FG45KWRZW6A2 · pith_short_16: FG45KWRZW6A2COWJ · pith_short_8: FG45KWRZ

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/FG45KWRZW6A2COWJXFY53TEFFO \
  | 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: 29b9d55a39b781a13ac9b971ddcc852bb6cfd01c03b34144845b8360a7987dc0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "14e734fcdfbce459d25d6227171661fbd4063b445a0e5b0054079def34481000",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.NT",
    "submitted_at": "2003-10-11T01:21:34Z",
    "title_canon_sha256": "a321ddda6ec632540ee037721a9e227248a37b4f5d828be63b240827d50c9de1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0310163",
    "kind": "arxiv",
    "version": 1
  }
}