Pith Number

pith:XQY6TA4D

pith:2017:XQY6TA4DWX6H5MLBFIVM2F2W7H

not attested not anchored not stored refs pending

On Poincar\'e series of half-integral weight

Sonja \v{Z}unar

arxiv:1711.07281 v1 · 2017-11-20 · math.NT · math.RT

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{XQY6TA4DWX6H5MLBFIVM2F2W7H}

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	2026-05-18T00:30:10.631278Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bc31e98383b5fc7eb1612a2acd1756f9ded6edb99c61b2d02440adab7701d1ce

Aliases

arxiv: 1711.07281 · arxiv_version: 1711.07281v1 · doi: 10.48550/arxiv.1711.07281 · pith_short_12: XQY6TA4DWX6H · pith_short_16: XQY6TA4DWX6H5MLB · pith_short_8: XQY6TA4D

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/XQY6TA4DWX6H5MLBFIVM2F2W7H \
  | 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: bc31e98383b5fc7eb1612a2acd1756f9ded6edb99c61b2d02440adab7701d1ce

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1f8fd4dd8e2b7e863d9580a05360e3352c06aefc0070047ed6a9cb8fc87ab79e",
    "cross_cats_sorted": [
      "math.RT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2017-11-20T12:19:43Z",
    "title_canon_sha256": "91427e671bb9c80d8062d25456a0e0d4cdd8aba2c15cecca316b9725a182f164"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1711.07281",
    "kind": "arxiv",
    "version": 1
  }
}