Pith Number

pith:B45PNHRH

pith:2019:B45PNHRH6ZUKV4SJSGTXJVMW4V

not attested not anchored not stored refs pending

A note on Schwartz functions and modular forms

Ian Wagner, Larry Rolen

arxiv:1903.05737 v3 · 2019-03-13 · 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{B45PNHRH6ZUKV4SJSGTXJVMW4V}

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	2026-05-17T23:46:45.667104Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0f3af69e27f668aaf24991a774d596e54c94a25f0c197c84ddabd45a579a896c

Aliases

arxiv: 1903.05737 · arxiv_version: 1903.05737v3 · doi: 10.48550/arxiv.1903.05737 · pith_short_12: B45PNHRH6ZUK · pith_short_16: B45PNHRH6ZUKV4SJ · pith_short_8: B45PNHRH

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/B45PNHRH6ZUKV4SJSGTXJVMW4V \
  | 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: 0f3af69e27f668aaf24991a774d596e54c94a25f0c197c84ddabd45a579a896c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6b90b4fb7a9739a269ba407994a788e2fd45d14c21f4208fcb06d69d55375ee1",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2019-03-13T22:11:43Z",
    "title_canon_sha256": "a1aae49eae2de282e0065c77e8459b411e9ad6e03fa2193384714c84df113d79"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1903.05737",
    "kind": "arxiv",
    "version": 3
  }
}