Pith Number

pith:YN23BSKV

pith:2015:YN23BSKVPXBFH2HPAP7ZAUSECP

not attested not anchored not stored refs pending

Plus/minus Heegner points and Iwasawa theory of elliptic curves at supersingular primes

Matteo Longo, Stefano Vigni

arxiv:1503.07812 v1 · 2015-03-26 · 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{YN23BSKVPXBFH2HPAP7ZAUSECP}

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	2026-05-18T02:20:18.698020Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c375b0c9557dc253e8ef03ff90524413c8523eb04a1a4b99efa040b80917d5aa

Aliases

arxiv: 1503.07812 · arxiv_version: 1503.07812v1 · doi: 10.48550/arxiv.1503.07812 · pith_short_12: YN23BSKVPXBF · pith_short_16: YN23BSKVPXBFH2HP · pith_short_8: YN23BSKV

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/YN23BSKVPXBFH2HPAP7ZAUSECP \
  | 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: c375b0c9557dc253e8ef03ff90524413c8523eb04a1a4b99efa040b80917d5aa

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8ebec6bee1e36595ad778227e92d60be89f445e1936d8c38e03e023ca65d0ea1",
    "cross_cats_sorted": [
      "math.AG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2015-03-26T18:22:55Z",
    "title_canon_sha256": "711dea62d1e4a0e8701eb9e5e30df074a5d67b46b8685730b7c32849436716cf"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1503.07812",
    "kind": "arxiv",
    "version": 1
  }
}