Pith Number

pith:TF7KDYJ6

pith:2017:TF7KDYJ67JSXONL45WCDQC2RSI

not attested not anchored not stored refs pending

Uniform Bounds for the Number of Rational Points on Symmetric Squares of Curves with Low Mordell-Weil Rank

Danielle Wang, Sameera Vemulapalli

arxiv:1708.07057 v3 · 2017-08-23 · math.AG

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{TF7KDYJ67JSXONL45WCDQC2RSI}

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	2026-05-18T00:04:08.231407Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

997ea1e13efa6577357ced84380b5192040c2a92d054b177159c1174d06671ff

Aliases

arxiv: 1708.07057 · arxiv_version: 1708.07057v3 · doi: 10.48550/arxiv.1708.07057 · pith_short_12: TF7KDYJ67JSX · pith_short_16: TF7KDYJ67JSXONL4 · pith_short_8: TF7KDYJ6

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/TF7KDYJ67JSXONL45WCDQC2RSI \
  | 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: 997ea1e13efa6577357ced84380b5192040c2a92d054b177159c1174d06671ff

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9c252fcbd8e107bdb89164d8168ea47346e0aba1d5f14e412c8e09d37126acf7",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2017-08-23T15:40:18Z",
    "title_canon_sha256": "e50a979e95a64dab0c86d21fe6e3cfd5e60a97ec0b94f5b42c33581201d09bf7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1708.07057",
    "kind": "arxiv",
    "version": 3
  }
}