Pith Number

pith:HSWIVSQ5

pith:2018:HSWIVSQ5PSQV4ZWE72WNFWS4XA

not attested not anchored not stored refs pending

Weak Siegel-Weil formula for M_2(Q) and arithmetic on quaternions

Tuoping Du

arxiv:1804.05247 v2 · 2018-04-14 · 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{HSWIVSQ5PSQV4ZWE72WNFWS4XA}

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	2026-05-18T00:15:46.370002Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3cac8aca1d7ca15e66c4feacd2da5cb8246e6953486430e4132f3179ac76ba87

Aliases

arxiv: 1804.05247 · arxiv_version: 1804.05247v2 · doi: 10.48550/arxiv.1804.05247 · pith_short_12: HSWIVSQ5PSQV · pith_short_16: HSWIVSQ5PSQV4ZWE · pith_short_8: HSWIVSQ5

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/HSWIVSQ5PSQV4ZWE72WNFWS4XA \
  | 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: 3cac8aca1d7ca15e66c4feacd2da5cb8246e6953486430e4132f3179ac76ba87

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c4374be3f1a2e22f29c20b4fa0dd5afb03bf3f54e3f1286c86085542dc2ab4eb",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2018-04-14T16:30:30Z",
    "title_canon_sha256": "9f150d06159e204ea29f6683f2437e9b3dfb552756695cb1b17eddba97fa7a0d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1804.05247",
    "kind": "arxiv",
    "version": 2
  }
}