Pith Number

pith:4JX3AYRZ

pith:1994:4JX3AYRZRATNDTAFWHMMBXUDZP

not attested not anchored not stored refs pending

Hilbert schemes of points on some K3 surfaces and Gieseker stable bundles

Antony Maciocia, Ugo Bruzzo

arxiv:alg-geom/9412014 v1 · 1994-12-14 · alg-geom · 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{4JX3AYRZRATNDTAFWHMMBXUDZP}

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	2026-05-18T01:37:43.078947Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e26fb062398826d1cc05b1d8c0de83cbf81ee769e883b86829e579731a3554f7

Aliases

arxiv: alg-geom/9412014 · arxiv_version: alg-geom/9412014v1 · doi: 10.48550/arxiv.alg-geom/9412014 · pith_short_12: 4JX3AYRZRATN · pith_short_16: 4JX3AYRZRATNDTAF · pith_short_8: 4JX3AYRZ

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/4JX3AYRZRATNDTAFWHMMBXUDZP \
  | 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: e26fb062398826d1cc05b1d8c0de83cbf81ee769e883b86829e579731a3554f7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "75e66b251fb10f3eaeed317b22d25eed187c08b4206de954c61f43599f115d4e",
    "cross_cats_sorted": [
      "math.AG"
    ],
    "license": "",
    "primary_cat": "alg-geom",
    "submitted_at": "1994-12-14T12:41:07Z",
    "title_canon_sha256": "6d50a3be54fb9d0f8eb3edbae6ecde869f68c01c68ed0c0e9518e310f936be78"
  },
  "schema_version": "1.0",
  "source": {
    "id": "alg-geom/9412014",
    "kind": "arxiv",
    "version": 1
  }
}