Pith Number

pith:LHHC7NA2

pith:2015:LHHC7NA2BSLPHYGSZB43XB74CB

not attested not anchored not stored refs pending

Bhargava's composition law and Waldspurger's central value theorem

Jun Wen

arxiv:1510.07334 v3 · 2015-10-26 · 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{LHHC7NA2BSLPHYGSZB43XB74CB}

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	2026-05-18T01:27:30.994622Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

59ce2fb41a0c96f3e0d2c879bb87fc1079400b03a8c363d81d53e228ce643d3f

Aliases

arxiv: 1510.07334 · arxiv_version: 1510.07334v3 · doi: 10.48550/arxiv.1510.07334 · pith_short_12: LHHC7NA2BSLP · pith_short_16: LHHC7NA2BSLPHYGS · pith_short_8: LHHC7NA2

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/LHHC7NA2BSLPHYGSZB43XB74CB \
  | 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: 59ce2fb41a0c96f3e0d2c879bb87fc1079400b03a8c363d81d53e228ce643d3f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bbac41d0318c91dcc35029e135536b6ef3ef3b4635acc611cb92174f8de57040",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2015-10-26T00:20:24Z",
    "title_canon_sha256": "e74e11ab4e85c6beb48ee43fc70818cacab3220c0cad45e5556fa8c5ff7ac3e0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1510.07334",
    "kind": "arxiv",
    "version": 3
  }
}