Pith Number

pith:6WRX7G3M

pith:2017:6WRX7G3MXINDQKTK22FEAVHSHX

not attested not anchored not stored refs pending

On the Birch--Swinnerton-Dyer conjecture and Schur indices

Matthew Bisatt, Vladimir Dokchitser

arxiv:1708.01807 v1 · 2017-08-05 · 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{6WRX7G3MXINDQKTK22FEAVHSHX}

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	2026-05-18T00:06:41.590045Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f5a37f9b6cba1a382a6ad68a4054f23dd808c24a5b5401662cf0002bf2156deb

Aliases

arxiv: 1708.01807 · arxiv_version: 1708.01807v1 · doi: 10.48550/arxiv.1708.01807 · pith_short_12: 6WRX7G3MXIND · pith_short_16: 6WRX7G3MXINDQKTK · pith_short_8: 6WRX7G3M

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/6WRX7G3MXINDQKTK22FEAVHSHX \
  | 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: f5a37f9b6cba1a382a6ad68a4054f23dd808c24a5b5401662cf0002bf2156deb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "aa55b514be941536009d595a2425d21c0498823206ea8a2f89133cc9efd2ea1b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2017-08-05T19:05:17Z",
    "title_canon_sha256": "bc04468b77c68de4f01d1359be3b5ca7c3f8d44c16fa1d4de141bcf59fe01697"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1708.01807",
    "kind": "arxiv",
    "version": 1
  }
}