Pith Number

pith:XI7VOTHT

pith:2023:XI7VOTHT6DXBBDPXAWJIB2G5UT

not attested not anchored not stored refs pending

Cohomological $\chi$-dependence of ring structure for the moduli of one-dimensional sheaves on $\mathbb{P}^2$

Miguel Moreira, Weite Pi, Woonam Lim

arxiv:2305.14193 v2 · 2023-05-23 · 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{XI7VOTHT6DXBBDPXAWJIB2G5UT}

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	2026-07-05T07:51:28.415700Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ba3f574cf3f0ee108df7059280e8dda4f7d0bf1157d2ff9831eebb93cb4e1f58

Aliases

arxiv: 2305.14193 · arxiv_version: 2305.14193v2 · doi: 10.48550/arxiv.2305.14193 · pith_short_12: XI7VOTHT6DXB · pith_short_16: XI7VOTHT6DXBBDPX · pith_short_8: XI7VOTHT

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/XI7VOTHT6DXBBDPXAWJIB2G5UT \
  | 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: ba3f574cf3f0ee108df7059280e8dda4f7d0bf1157d2ff9831eebb93cb4e1f58

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "12d94bceda6114c77edbe3ce594bc992e0b1e3ff909fc3a356b0221f8abaf5a8",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2023-05-23T16:12:33Z",
    "title_canon_sha256": "72f5c63507505afbca8d06710d3f2d13c73a52c2a27d0643fc44e05690c3f688"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2305.14193",
    "kind": "arxiv",
    "version": 2
  }
}