Pith Number

pith:QCAJG6GO

pith:2025:QCAJG6GOSTLCDAJUKBNTP2JZIY

not attested not anchored not stored refs pending

A Topological Perspective on the Birch and Swinnerton Dyer Conjectures

Maisara Shoeib

arxiv:2505.19796 v1 · 2025-05-26 · math.GM

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{QCAJG6GOSTLCDAJUKBNTP2JZIY}

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	2026-07-05T11:09:36.196958Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

80809378ce94d6218134505b37e93946037c1dfd6f7bf2bc5a0ae4bc9b8f48b2

Aliases

arxiv: 2505.19796 · arxiv_version: 2505.19796v1 · doi: 10.48550/arxiv.2505.19796 · pith_short_12: QCAJG6GOSTLC · pith_short_16: QCAJG6GOSTLCDAJU · pith_short_8: QCAJG6GO

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/QCAJG6GOSTLCDAJUKBNTP2JZIY \
  | 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: 80809378ce94d6218134505b37e93946037c1dfd6f7bf2bc5a0ae4bc9b8f48b2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b2355a70366d093a74f6d949b78d2b7667fa12fc22f7b0e012c95143950ab32e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GM",
    "submitted_at": "2025-05-26T10:29:28Z",
    "title_canon_sha256": "1b5864b71062149844464d9652ab1a0fe36f34c1b3f51919d3fb0912443a8216"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2505.19796",
    "kind": "arxiv",
    "version": 1
  }
}