Pith Number

pith:X7546UAS

pith:2025:X7546UASK6WF4I2SJF7NV3SBF2

not attested not anchored not stored refs pending

The Birch and Swinnerton-Dyer conjecture implies Goldfeld's conjecture

Alexander Smith

arxiv:2503.17619 v1 · 2025-03-22 · 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{X7546UASK6WF4I2SJF7NV3SBF2}

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.

Cited by

5 papers in Pith

Recent Progress around Cohen-Lenstra Heuristics

Tamagawa ratios and unbounded Selmer moments

Infinitely many hyperelliptic curves of small genus and small fixed rank, and of any genus and rank two

On the coefficients of the Taylor expansion of $L$-functions of elliptic curves

A proof of $p$-adic Gross--Zagier theorem via BDP formula

Receipt and verification

First computed	2026-07-05T10:37:50.564385Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bffbcf501257ac5e2352497edaee412e984b5f3a59100391d6b0b3e39ba4eebc

Aliases

arxiv: 2503.17619 · arxiv_version: 2503.17619v1 · doi: 10.48550/arxiv.2503.17619 · pith_short_12: X7546UASK6WF · pith_short_16: X7546UASK6WF4I2S · pith_short_8: X7546UAS

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/X7546UASK6WF4I2SJF7NV3SBF2 \
  | 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: bffbcf501257ac5e2352497edaee412e984b5f3a59100391d6b0b3e39ba4eebc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "844fd89759bd408dee563fc31429142c169b61bd56d1a0bf1523d88c9fa3304a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2025-03-22T02:30:45Z",
    "title_canon_sha256": "b211de8a00de32d01dcb5b6db8fadec39c81851082519bb1e035cdddd5850344"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2503.17619",
    "kind": "arxiv",
    "version": 1
  }
}