Pith Number

pith:ZBEJCBF6

pith:2026:ZBEJCBF6ELPRZLG7IHM3QGU7H5

not attested not anchored not stored refs pending

Torelli loci, product cycles, and the homomorphism conjecture for $\mathcal{A}_g$

Aitor Iribar L\'opez, Daniel Holmes, Denis Nesterov, Dragos Oprea, Jeremy Feusi, Johannes Schmitt, Lycka Drakengren, Rahul Pandharipande, Samir Canning, Zheming Sun

arxiv:2601.04353 v3 · 2026-01-07 · 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{ZBEJCBF6ELPRZLG7IHM3QGU7H5}

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	2026-06-11T00:08:11.983585Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c8489104be22df1cacdf41d9b81a9f3f451451bb0495c6bda1057eff9c8fd9de

Aliases

arxiv: 2601.04353 · arxiv_version: 2601.04353v3 · doi: 10.48550/arxiv.2601.04353 · pith_short_12: ZBEJCBF6ELPR · pith_short_16: ZBEJCBF6ELPRZLG7 · pith_short_8: ZBEJCBF6

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/ZBEJCBF6ELPRZLG7IHM3QGU7H5 \
  | 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: c8489104be22df1cacdf41d9b81a9f3f451451bb0495c6bda1057eff9c8fd9de

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1e2f5bf7ee1c37ee6b87aab8a2e736d7573151bbf9f204a5af8192712e1df2c3",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2026-01-07T19:38:33Z",
    "title_canon_sha256": "df6a476fb8d6ed57ff050d89eef677641433d2745cf89f71fa74d64831a2f130"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2601.04353",
    "kind": "arxiv",
    "version": 3
  }
}