Pith Number

pith:J7TYW4DU

pith:2012:J7TYW4DUFHIZXVPA45DKLFMEN4

not attested not anchored not stored refs pending

Estimates of triple products of automorphic functions II

Andre Reznikov

arxiv:1202.4766 v1 · 2012-02-21 · math.RT · 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{J7TYW4DUFHIZXVPA45DKLFMEN4}

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	2026-05-18T04:01:49.083832Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4fe78b707429d19bd5e0e746a595846f2614015400f34eb83c958108511f7e82

Aliases

arxiv: 1202.4766 · arxiv_version: 1202.4766v1 · doi: 10.48550/arxiv.1202.4766 · pith_short_12: J7TYW4DUFHIZ · pith_short_16: J7TYW4DUFHIZXVPA · pith_short_8: J7TYW4DU

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/J7TYW4DUFHIZXVPA45DKLFMEN4 \
  | 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: 4fe78b707429d19bd5e0e746a595846f2614015400f34eb83c958108511f7e82

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b6f7b67e08f9bf4d6269ba1c4698c75c47589d25cfaba3ebe5ae6abf0d3791ab",
    "cross_cats_sorted": [
      "math.NT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2012-02-21T21:05:29Z",
    "title_canon_sha256": "83d7a0f54899b5d4171401c9f2cf99c8dea842882f6f479528cf2e587c8fa52c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1202.4766",
    "kind": "arxiv",
    "version": 1
  }
}