Pith Number

pith:FGZRHMNI

pith:2016:FGZRHMNI3BPO2NA5ZULUHKJOQY

not attested not anchored not stored refs pending

The transformation laws of algebraic theta functions

Luca Candelori

arxiv:1609.04486 v1 · 2016-09-15 · math.AG · 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{FGZRHMNI3BPO2NA5ZULUHKJOQY}

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	2026-05-18T01:04:36.598067Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

29b313b1a8d85eed341dcd1743a92e8622b1ffce6398553b1ff2c447fd784c53

Aliases

arxiv: 1609.04486 · arxiv_version: 1609.04486v1 · doi: 10.48550/arxiv.1609.04486 · pith_short_12: FGZRHMNI3BPO · pith_short_16: FGZRHMNI3BPO2NA5 · pith_short_8: FGZRHMNI

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/FGZRHMNI3BPO2NA5ZULUHKJOQY \
  | 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: 29b313b1a8d85eed341dcd1743a92e8622b1ffce6398553b1ff2c447fd784c53

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "aec83e324d5270180b30f5574cb2076df10eca5eb0014263d35f75d200083233",
    "cross_cats_sorted": [
      "math.NT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2016-09-15T01:10:02Z",
    "title_canon_sha256": "96b161e1240ccc7f7728f5c17a2365012a3563c7b35dbb8ea4136a8b00c1e2b4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1609.04486",
    "kind": "arxiv",
    "version": 1
  }
}