Pith Number

pith:DMMHKFLK

pith:2012:DMMHKFLKN7U4Y6MO2WKZSZDLXO

not attested not anchored not stored refs pending

A p-adic analogue of the conjecture of Birch and Swinnerton-Dyer for modular abelian varieties

Jennifer S. Balakrishnan, J. Steffen M\"uller, William A. Stein

arxiv:1210.2739 v2 · 2012-10-09 · math.NT · 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{DMMHKFLKN7U4Y6MO2WKZSZDLXO}

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	2026-05-18T02:30:23.018584Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1b1875156a6fe9cc798ed59599646bbb8094ba553261448720e7b4989da9ceeb

Aliases

arxiv: 1210.2739 · arxiv_version: 1210.2739v2 · doi: 10.48550/arxiv.1210.2739 · pith_short_12: DMMHKFLKN7U4 · pith_short_16: DMMHKFLKN7U4Y6MO · pith_short_8: DMMHKFLK

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/DMMHKFLKN7U4Y6MO2WKZSZDLXO \
  | 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: 1b1875156a6fe9cc798ed59599646bbb8094ba553261448720e7b4989da9ceeb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d93fb4e7d665ea67e3ec3dd99b4d2e4cee9fdeb93f348e8a5603471f9fee35e8",
    "cross_cats_sorted": [
      "math.AG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2012-10-09T20:21:53Z",
    "title_canon_sha256": "ed476101fa8d1229ebde613502c8f0d33285d26fe34d63105fb7827c64da2a57"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1210.2739",
    "kind": "arxiv",
    "version": 2
  }
}