Pith Number

pith:3S56UYIP

pith:2015:3S56UYIPVKJGLHBBCDV6SPAQVX

not attested not anchored not stored refs pending

Heegner cycles and $p$-adic $L$-functions

Francesc Castella, Ming-Lun Hsieh

arxiv:1505.08165 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{3S56UYIPVKJGLHBBCDV6SPAQVX}

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	2026-05-18T00:53:15.966273Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

dcbbea610faa92659c2110ebe93c10adfe973662432d56d1974fbce09bb08001

Aliases

arxiv: 1505.08165 · arxiv_version: 1505.08165v2 · doi: 10.48550/arxiv.1505.08165 · pith_short_12: 3S56UYIPVKJG · pith_short_16: 3S56UYIPVKJGLHBB · pith_short_8: 3S56UYIP

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/3S56UYIPVKJGLHBBCDV6SPAQVX \
  | 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: dcbbea610faa92659c2110ebe93c10adfe973662432d56d1974fbce09bb08001

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6505be0aba373bf19311d648f806d3eae7130e11b4868be6c0745705dc6deb01",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2015-05-29T19:40:40Z",
    "title_canon_sha256": "d6b7cc20c24176a03ae9e1c4a309fc1735752258bcb1bbe18e0d5d2f76785e6c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1505.08165",
    "kind": "arxiv",
    "version": 2
  }
}