Pith Number

pith:D32KLAUW

pith:2019:D32KLAUW3SCA5GNR3VDT3XDLL6

not attested not anchored not stored refs pending

Theta Blocks

Don Zagier, Nils-Peter Skoruppa, Valery Gritsenko

arxiv:1907.00188 v1 · 2019-06-29 · 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{D32KLAUW3SCA5GNR3VDT3XDLL6}

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	2026-05-17T23:41:52.564475Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1ef4a58296dc840e99b1dd473ddc6b5f80e5ce3131a694371b72c24886a5b8a2

Aliases

arxiv: 1907.00188 · arxiv_version: 1907.00188v1 · doi: 10.48550/arxiv.1907.00188 · pith_short_12: D32KLAUW3SCA · pith_short_16: D32KLAUW3SCA5GNR · pith_short_8: D32KLAUW

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/D32KLAUW3SCA5GNR3VDT3XDLL6 \
  | 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: 1ef4a58296dc840e99b1dd473ddc6b5f80e5ce3131a694371b72c24886a5b8a2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "42578d71a2c1f46b2de13243c20d6800006bc2f75fc042c9117ad490210f5351",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2019-06-29T12:00:12Z",
    "title_canon_sha256": "f54722b63b687f2b33838bf146d8c37f6fc5ea3707840070e0afeb695cca37c7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1907.00188",
    "kind": "arxiv",
    "version": 1
  }
}