Pith Number

pith:3NTC7KHO

pith:2018:3NTC7KHOSWLL7QDH4JMLZ3YRP4

not attested not anchored not stored refs pending

Computational Arithmetic of Modular Forms (Course notes)

Gabor Wiese

arxiv:1809.04645 v1 · 2018-09-12 · 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{3NTC7KHOSWLL7QDH4JMLZ3YRP4}

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	2026-05-18T00:05:50.110286Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

db662fa8ee9596bfc067e258bcef117f2681320a6f10c9d1a7678743e02940b2

Aliases

arxiv: 1809.04645 · arxiv_version: 1809.04645v1 · doi: 10.48550/arxiv.1809.04645 · pith_short_12: 3NTC7KHOSWLL · pith_short_16: 3NTC7KHOSWLL7QDH · pith_short_8: 3NTC7KHO

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/3NTC7KHOSWLL7QDH4JMLZ3YRP4 \
  | 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: db662fa8ee9596bfc067e258bcef117f2681320a6f10c9d1a7678743e02940b2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "410d57e87d2c3b5207d9a2a8344897c9079e07bbfb8724e877f68f8369f1433a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2018-09-12T19:39:21Z",
    "title_canon_sha256": "b3276730af989ea597a018c7d32d1576a851ebb0a5455c0b6149433be52f8a98"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1809.04645",
    "kind": "arxiv",
    "version": 1
  }
}