Pith Number

pith:WCK3VILQ

pith:2026:WCK3VILQ452H46VWL5KLCJWADW

not attested not anchored not stored refs pending

Picard bundles and the degree of irrationality of Jacobians

Andr\'es Rojas, Federico Moretti

arxiv:2605.18469 v1 · 2026-05-18 · math.AG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{WCK3VILQ452H46VWL5KLCJWADW}

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	2026-05-20T00:06:02.836640Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b095baa170e7747e7ab65f54b126c01db294e763de5106fdaf9b1f05531f22f5

Aliases

arxiv: 2605.18469 · arxiv_version: 2605.18469v1 · doi: 10.48550/arxiv.2605.18469 · pith_short_12: WCK3VILQ452H · pith_short_16: WCK3VILQ452H46VW · pith_short_8: WCK3VILQ

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/WCK3VILQ452H46VWL5KLCJWADW \
  | 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: b095baa170e7747e7ab65f54b126c01db294e763de5106fdaf9b1f05531f22f5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "eab438523d890f0d651636f9137f770e85fe4e010e921fae3119287697c12cba",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2026-05-18T14:27:58Z",
    "title_canon_sha256": "0656491f334ad6366a2f28f475ff54335c852a6654cda3243c76632f5ba2c968"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2605.18469",
    "kind": "arxiv",
    "version": 1
  }
}