Pith Number

pith:A2RCQFNH

pith:2018:A2RCQFNH4DCZTOIV5VQIR37Y7Q

not attested not anchored not stored refs pending

The Voronoi formula on GL(3) with ramification

Fan Zhou

arxiv:1806.10786 v2 · 2018-06-28 · 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{A2RCQFNH4DCZTOIV5VQIR37Y7Q}

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	2026-05-18T00:05:38.771937Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

06a22815a7e0c599b915ed6088eff8fc1811209846f634551d217ca1a5197c7c

Aliases

arxiv: 1806.10786 · arxiv_version: 1806.10786v2 · doi: 10.48550/arxiv.1806.10786 · pith_short_12: A2RCQFNH4DCZ · pith_short_16: A2RCQFNH4DCZTOIV · pith_short_8: A2RCQFNH

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/A2RCQFNH4DCZTOIV5VQIR37Y7Q \
  | 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: 06a22815a7e0c599b915ed6088eff8fc1811209846f634551d217ca1a5197c7c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8c0046b5472c89e3462abbd0615fe00658c2e9189293a8b3ff80a220b1512d6f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2018-06-28T06:22:18Z",
    "title_canon_sha256": "39d89d06eb99acd6bad231ab001f1f9e2b0f8a44c6e5afa4b8f8458364a70197"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1806.10786",
    "kind": "arxiv",
    "version": 2
  }
}