Pith Number

pith:I6NB66WG

pith:2000:I6NB66WGUOIHIR4UPDBBBADVEZ

not attested not anchored not stored refs pending

Vector bundles on the cubic threefold

Arnaud Beauville

arxiv:math/0005017 v1 · 2000-05-02 · 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{I6NB66WGUOIHIR4UPDBBBADVEZ}

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

A note on geometry of Bridgeland Moduli spaces on Gushel-Mukai threefolds

Receipt and verification

First computed	2026-07-04T14:34:29.169008Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

479a1f7ac6a39074479478c21080752659bc23ce7e55f6e48b6c1c5f4d6b5188

Aliases

arxiv: math/0005017 · arxiv_version: math/0005017v1 · doi: 10.48550/arxiv.math/0005017 · pith_short_12: I6NB66WGUOIH · pith_short_16: I6NB66WGUOIHIR4U · pith_short_8: I6NB66WG

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/I6NB66WGUOIHIR4UPDBBBADVEZ \
  | 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: 479a1f7ac6a39074479478c21080752659bc23ce7e55f6e48b6c1c5f4d6b5188

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "911ef1f751bd965ba27db2e34bd5a0cf789b6f5f7f0f2a8b3de36506c2ced80a",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.AG",
    "submitted_at": "2000-05-02T10:05:47Z",
    "title_canon_sha256": "d5bbfdf9fc7b819c6c7da2076524fdc9234247dc7c668e7ed65ff16a19f8e88d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0005017",
    "kind": "arxiv",
    "version": 1
  }
}