Pith Number

pith:7EWKXITN

pith:2021:7EWKXITN3QBVRTENW62NZZWLT5

not attested not anchored not stored refs pending

Some moduli spaces of 1-dimensional sheaves on an elliptic ruled surface

Kota Yoshioka

arxiv:2111.04786 v2 · 2021-11-08 · 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{7EWKXITN3QBVRTENW62NZZWLT5}

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	2026-07-05T03:58:04.866082Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f92caba26ddc0358cc8db7b4dce6cb9f653b6862f8a29c86a477a53124bcd872

Aliases

arxiv: 2111.04786 · arxiv_version: 2111.04786v2 · doi: 10.48550/arxiv.2111.04786 · pith_short_12: 7EWKXITN3QBV · pith_short_16: 7EWKXITN3QBVRTEN · pith_short_8: 7EWKXITN

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/7EWKXITN3QBVRTENW62NZZWLT5 \
  | 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: f92caba26ddc0358cc8db7b4dce6cb9f653b6862f8a29c86a477a53124bcd872

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "23ba908ce71e7f69335bf7fed866b8ff1ef7df25c074a17ef9d70f60d8f750d9",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2021-11-08T19:44:28Z",
    "title_canon_sha256": "89b165c1e93b2781d6af4012a001ee2242f5d5f36951041f38ab33a4274cd2ee"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2111.04786",
    "kind": "arxiv",
    "version": 2
  }
}