Pith Number

pith:IKMGM2QJ

pith:2012:IKMGM2QJRDGQ3ECVRM2QNZWJMY

not attested not anchored not stored refs pending

The Heegner point Kolyvagin system

Benjamin Howard

arxiv:1202.6340 v1 · 2012-02-28 · 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{IKMGM2QJRDGQ3ECVRM2QNZWJMY}

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	2026-05-18T04:01:12.778506Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4298666a0988cd0d90558b3506e6c9663fcb10c669dfb4b5ce97309433e3ef47

Aliases

arxiv: 1202.6340 · arxiv_version: 1202.6340v1 · doi: 10.48550/arxiv.1202.6340 · pith_short_12: IKMGM2QJRDGQ · pith_short_16: IKMGM2QJRDGQ3ECV · pith_short_8: IKMGM2QJ

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/IKMGM2QJRDGQ3ECVRM2QNZWJMY \
  | 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: 4298666a0988cd0d90558b3506e6c9663fcb10c669dfb4b5ce97309433e3ef47

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5d87990cc13cb8ebb333afdd818ee93ae42e7bd11597e2afc89d91291311cc01",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2012-02-28T20:05:56Z",
    "title_canon_sha256": "951885e46633ae7849cd5bba10363c264b2895ba9660207b641ea50a6d049b40"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1202.6340",
    "kind": "arxiv",
    "version": 1
  }
}