Pith Number

pith:SNTZTMU4

pith:2017:SNTZTMU4ZV4LVVWHT2LVXUPOJM

not attested not anchored not stored refs pending

Triple product p-adic L-functions associated to finite slope p-adic families of modular forms, with an appendix by Eric Urban

Adrian Iovita, Fabrizio Andreatta

arxiv:1708.02785 v2 · 2017-08-09 · 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{SNTZTMU4ZV4LVVWHT2LVXUPOJM}

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	2026-05-17T23:48:02.317694Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

936799b29ccd78bad6c79e975bd1ee4b06e7583f5325fe5c91d6b5e44ccc54c6

Aliases

arxiv: 1708.02785 · arxiv_version: 1708.02785v2 · doi: 10.48550/arxiv.1708.02785 · pith_short_12: SNTZTMU4ZV4L · pith_short_16: SNTZTMU4ZV4LVVWH · pith_short_8: SNTZTMU4

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/SNTZTMU4ZV4LVVWHT2LVXUPOJM \
  | 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: 936799b29ccd78bad6c79e975bd1ee4b06e7583f5325fe5c91d6b5e44ccc54c6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e5f7aecb78bc37c78d9398e3aad1e6e4895cc6499e2e7f79867cc1390276284d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2017-08-09T11:16:53Z",
    "title_canon_sha256": "9cb854754c8090116c231f6112531a37e5f662da43471bc8c41a38d27f92b5ca"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1708.02785",
    "kind": "arxiv",
    "version": 2
  }
}