Pith Number

pith:OK55ZNLI

pith:2015:OK55ZNLIKYSEJR4LNVBYAHDBW5

not attested not anchored not stored refs pending

On Heegner Points for primes of additive reduction ramifying in the base field

Ariel Pacetti (with an appendix by Marc Masdeu), Daniel Kohen

arxiv:1505.08059 v2 · 2015-05-29 · 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{OK55ZNLIKYSEJR4LNVBYAHDBW5}

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	2026-05-18T01:15:06.934844Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

72bbdcb568562444c78b6d43801c61b771d8d9a981b989ce957b26f2c571dfe4

Aliases

arxiv: 1505.08059 · arxiv_version: 1505.08059v2 · doi: 10.48550/arxiv.1505.08059 · pith_short_12: OK55ZNLIKYSE · pith_short_16: OK55ZNLIKYSEJR4L · pith_short_8: OK55ZNLI

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/OK55ZNLIKYSEJR4LNVBYAHDBW5 \
  | 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: 72bbdcb568562444c78b6d43801c61b771d8d9a981b989ce957b26f2c571dfe4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e9edf76e095e58ded852685b1fa381ec5ad32ea1d4dfc3ab2d84812c3546613f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2015-05-29T14:27:52Z",
    "title_canon_sha256": "c0b755f7621b9d26d6bb83067263b01d0ea3c07e81c9a0ebb8ac3c03aa75bdd1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1505.08059",
    "kind": "arxiv",
    "version": 2
  }
}