Pith Number

pith:U3XXEXW4

pith:2026:U3XXEXW4XYJSNEML3MLRLPU7T6

not attested not anchored not stored refs pending

A $p$-part Birch and Swinnerton-Dyer Formula over Totally Imaginary Quadratic Extension of Totally Real Fields

Haidong Li

arxiv:2608.11969 v1 · 2026-08-12 · 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{U3XXEXW4XYJSNEML3MLRLPU7T6}

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	2026-08-13T01:29:08.276150Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a6ef725edcbe1326918bdb1715be9f9fa33a2ed88023d5cd01f357a05c756b50

Aliases

arxiv: 2608.11969 · arxiv_version: 2608.11969v1 · doi: 10.48550/arxiv.2608.11969 · pith_short_12: U3XXEXW4XYJS · pith_short_16: U3XXEXW4XYJSNEML · pith_short_8: U3XXEXW4

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/U3XXEXW4XYJSNEML3MLRLPU7T6 \
  | 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: a6ef725edcbe1326918bdb1715be9f9fa33a2ed88023d5cd01f357a05c756b50

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "92fbbcf57b325740435605b910b19d08bcb3d41828ecb74c661b42d9fdbbce2d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2026-08-12T11:56:56Z",
    "title_canon_sha256": "5e926372d84e2e9fcd3dd4be9ffe1593c380f8a6a5a228a00b6bb9c9b2ce3e64"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2608.11969",
    "kind": "arxiv",
    "version": 1
  }
}