Pith Number

pith:EZSXNPBB

pith:2021:EZSXNPBBN3U6BYACNJQMTHHA2Z

not attested not anchored not stored refs pending

On the Picard Group of the Moduli Space of Curves via $r$-Spin Structures

Danil Gubarevich

arxiv:2112.10182 v3 · 2021-12-19 · 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{EZSXNPBBN3U6BYACNJQMTHHA2Z}

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

The Gorenstein property and Pixton's conjecture for compact type moduli

Receipt and verification

First computed	2026-07-05T09:18:17.509530Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

266576bc216ee9e0e0026a60c99ce0d64715b79d882fadde6a2aea9ec27c27bc

Aliases

arxiv: 2112.10182 · arxiv_version: 2112.10182v3 · doi: 10.48550/arxiv.2112.10182 · pith_short_12: EZSXNPBBN3U6 · pith_short_16: EZSXNPBBN3U6BYAC · pith_short_8: EZSXNPBB

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/EZSXNPBBN3U6BYACNJQMTHHA2Z \
  | 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: 266576bc216ee9e0e0026a60c99ce0d64715b79d882fadde6a2aea9ec27c27bc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8b5e02aa1b91bc3a8d11fcec6bae04cbc2542ec0186adf90569bcfcfe13c9c4d",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by-sa/4.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2021-12-19T16:11:13Z",
    "title_canon_sha256": "fa182786bf0e8e12da4adede6e2bf0344922bb61e252d1f77072bced4fbd9a39"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2112.10182",
    "kind": "arxiv",
    "version": 3
  }
}