Pith Number

pith:XJENLCWA

pith:2012:XJENLCWADUB7QHLWIAYJJFKQAV

not attested not anchored not stored refs pending

Ratios of periods for tensor product motives

A. Raghuram, Chandrasheel Bhagwat

arxiv:1209.6483 v3 · 2012-09-28 · math.NT · math.AG · 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{XJENLCWADUB7QHLWIAYJJFKQAV}

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	2026-05-18T03:16:29.087416Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ba48d58ac01d03f81d7640309495500557ebab6daa2e52054ed5f71107781125

Aliases

arxiv: 1209.6483 · arxiv_version: 1209.6483v3 · doi: 10.48550/arxiv.1209.6483 · pith_short_12: XJENLCWADUB7 · pith_short_16: XJENLCWADUB7QHLW · pith_short_8: XJENLCWA

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/XJENLCWADUB7QHLWIAYJJFKQAV \
  | 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: ba48d58ac01d03f81d7640309495500557ebab6daa2e52054ed5f71107781125

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f979a3e87e87877d8a329c394ce97afef0b039594d8b97cc012ac58153bbf421",
    "cross_cats_sorted": [
      "math.AG",
      "math.RT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2012-09-28T11:32:43Z",
    "title_canon_sha256": "27015d948471ee5e1e51c66f083f51ea9cf870c799d799cab486736868f08b97"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1209.6483",
    "kind": "arxiv",
    "version": 3
  }
}