Pith Number

pith:OTHMNOME

pith:2014:OTHMNOME4VVPS4I275LRSN6SOQ

not attested not anchored not stored refs pending

Triple product formula and mass equidistribution on modular curves of level N

Yueke Hu

arxiv:1409.8173 v2 · 2014-09-29 · 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{OTHMNOME4VVPS4I275LRSN6SOQ}

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	2026-05-18T02:30:31.538778Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

74cec6b984e56af9711aff571937d2742b186171a9abe67706d0719dc95ab075

Aliases

arxiv: 1409.8173 · arxiv_version: 1409.8173v2 · doi: 10.48550/arxiv.1409.8173 · pith_short_12: OTHMNOME4VVP · pith_short_16: OTHMNOME4VVPS4I2 · pith_short_8: OTHMNOME

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/OTHMNOME4VVPS4I275LRSN6SOQ \
  | 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: 74cec6b984e56af9711aff571937d2742b186171a9abe67706d0719dc95ab075

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b0027fb5f55ccaf69120084c3303d8dcf9f3f230893c34edb68345f8a2db8fb8",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2014-09-29T16:19:32Z",
    "title_canon_sha256": "34e5a1fa0521736d12a54850e54c26fa038251360ff28cdc4e673ab3a510aa48"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1409.8173",
    "kind": "arxiv",
    "version": 2
  }
}