Pith Number

pith:QT33IDO7

pith:2018:QT33IDO7IT45J5OUETZ4C3LXJZ

not attested not anchored not stored refs pending

A magnetic modular form

Michael Neururer, Yingkun Li

arxiv:1808.04157 v2 · 2018-08-13 · 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{QT33IDO7IT45J5OUETZ4C3LXJZ}

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	2026-05-18T00:05:28.072119Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

84f7b40ddf44f9d4f5d424f3c16d774e40e287a9dd1357e1cd0570379006caee

Aliases

arxiv: 1808.04157 · arxiv_version: 1808.04157v2 · doi: 10.48550/arxiv.1808.04157 · pith_short_12: QT33IDO7IT45 · pith_short_16: QT33IDO7IT45J5OU · pith_short_8: QT33IDO7

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/QT33IDO7IT45J5OUETZ4C3LXJZ \
  | 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: 84f7b40ddf44f9d4f5d424f3c16d774e40e287a9dd1357e1cd0570379006caee

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f76821805eb1963c5412bf6ae3c96f2ec06086bfb700ee7e2d2152dc4d0e098f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2018-08-13T11:52:54Z",
    "title_canon_sha256": "b20ffaa38e7ada78632afb2409e20c69eb94211fb8431cbeb4e62a5f26753661"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1808.04157",
    "kind": "arxiv",
    "version": 2
  }
}