Pith Number

pith:SQILD7A4

pith:2022:SQILD7A4LKCUOIBNDADYJFQ3P3

not attested not anchored not stored refs pending

Rank 4 stable vector bundles on hyperk\"ahler fourfolds of Kummer type

Kieran G. O'Grady

arxiv:2203.03987 v5 · 2022-03-08 · 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{SQILD7A4LKCUOIBNDADYJFQ3P3}

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	2026-05-20T14:03:15.567629Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9410b1fc1c5a8547202d180784961b7ef5d2b5e0f0254ec931fcb9c318e65b46

Aliases

arxiv: 2203.03987 · arxiv_version: 2203.03987v5 · doi: 10.48550/arxiv.2203.03987 · pith_short_12: SQILD7A4LKCU · pith_short_16: SQILD7A4LKCUOIBN · pith_short_8: SQILD7A4

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/SQILD7A4LKCUOIBNDADYJFQ3P3 \
  | 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: 9410b1fc1c5a8547202d180784961b7ef5d2b5e0f0254ec931fcb9c318e65b46

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e09f0c7ec954778a60be80a517e69fb03f96694c7d8c5231227176a427e7a05f",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by-sa/4.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2022-03-08T10:26:39Z",
    "title_canon_sha256": "4a70cc5571c0547bd55f384babbded4c75922f2e4092944a0500e4a869e3992b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2203.03987",
    "kind": "arxiv",
    "version": 5
  }
}