Pith Number

pith:WGIQC23A

pith:2011:WGIQC23AXIDZI4T7NKVKIRDW3P

not attested not anchored not stored refs pending

On the pullback of an arithmetic theta function

Stephen Kudla, Tonghai Yang

arxiv:1106.4732 v1 · 2011-06-23 · 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{WGIQC23AXIDZI4T7NKVKIRDW3P}

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	2026-05-18T04:19:23.755935Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b191016b60ba0794727f6aaaa44476dbc4f68d6c7a2bd69d37a9a8f20d5e47b7

Aliases

arxiv: 1106.4732 · arxiv_version: 1106.4732v1 · doi: 10.48550/arxiv.1106.4732 · pith_short_12: WGIQC23AXIDZ · pith_short_16: WGIQC23AXIDZI4T7 · pith_short_8: WGIQC23A

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/WGIQC23AXIDZI4T7NKVKIRDW3P \
  | 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: b191016b60ba0794727f6aaaa44476dbc4f68d6c7a2bd69d37a9a8f20d5e47b7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a479129b3bf1a20adcd2d2cc80ec271de3f3ad3d7c141e15f3fa574473aad09b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2011-06-23T14:11:50Z",
    "title_canon_sha256": "113d26d9cb7822fa7b4724bc86ca48780d4c49ca9e101c171834916f8178a98e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1106.4732",
    "kind": "arxiv",
    "version": 1
  }
}