Pith Number

pith:W5YPJ4XS

pith:2014:W5YPJ4XS5KCVSKIDWL4ZQC4QGE

not attested not anchored not stored refs pending

Ternary quadratic forms and Heegner divisors

Tuoping Du

arxiv:1404.4920 v1 · 2014-04-19 · 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{W5YPJ4XS5KCVSKIDWL4ZQC4QGE}

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	2026-05-18T02:53:52.615438Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b770f4f2f2ea85592903b2f9980b903100c99d6fdf0043b31c2783997aff7aa9

Aliases

arxiv: 1404.4920 · arxiv_version: 1404.4920v1 · doi: 10.48550/arxiv.1404.4920 · pith_short_12: W5YPJ4XS5KCV · pith_short_16: W5YPJ4XS5KCVSKID · pith_short_8: W5YPJ4XS

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/W5YPJ4XS5KCVSKIDWL4ZQC4QGE \
  | 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: b770f4f2f2ea85592903b2f9980b903100c99d6fdf0043b31c2783997aff7aa9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ead7039855bd7426841241f9edcb375e25f19a81e56124db1b85d6425cdc7d7b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2014-04-19T04:23:18Z",
    "title_canon_sha256": "dbf1035c1b7709422cbd28ec60a27eeb7a8788ded711890cb019fe9166c58e85"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1404.4920",
    "kind": "arxiv",
    "version": 1
  }
}