Pith Number

pith:5ZVKZSSB

pith:2024:5ZVKZSSBVICGR4SP4OGLX2HCMZ

not attested not anchored not stored refs pending

Tautological and non-tautological cycles on the moduli space of abelian varieties

Dragos Oprea, Rahul Pandharipande, Samir Canning

arxiv:2408.08718 v3 · 2024-08-16 · 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{5ZVKZSSBVICGR4SP4OGLX2HCMZ}

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.

Cited by

1 paper in Pith

Gromov-Witten theory of $\mathsf{Hilb}^n(\mathbb{C}^2)$ and Noether-Lefschetz theory of $\mathcal{A}_g$

Receipt and verification

First computed	2026-07-05T11:59:53.191185Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ee6aacca41aa0468f24fe38cbbe8e26676fa6b5be28b6f8d072395efe8bcf0ba

Aliases

arxiv: 2408.08718 · arxiv_version: 2408.08718v3 · doi: 10.48550/arxiv.2408.08718 · pith_short_12: 5ZVKZSSBVICG · pith_short_16: 5ZVKZSSBVICGR4SP · pith_short_8: 5ZVKZSSB

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/5ZVKZSSBVICGR4SP4OGLX2HCMZ \
  | 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: ee6aacca41aa0468f24fe38cbbe8e26676fa6b5be28b6f8d072395efe8bcf0ba

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "60f900708087892acd2e6564160d8efdcc0f1382d8c3c073d6a9b5c92a03565c",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2024-08-16T12:59:41Z",
    "title_canon_sha256": "40ad4cf4cc4462dcdc283a90a439de6f5e5526125fca4bb4fad92a69caf38993"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2408.08718",
    "kind": "arxiv",
    "version": 3
  }
}