Pith Number

pith:ABRYEKUC

pith:2011:ABRYEKUC3AGSD5ZGKZ2SKTZVNA

not attested not anchored not stored refs pending

Restrictions of Steiner bundles and divisors on the Hilbert scheme of points in the plane

Jack Huizenga

arxiv:1102.5580 v2 · 2011-02-28 · 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{ABRYEKUC3AGSD5ZGKZ2SKTZVNA}

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	2026-05-18T04:01:02.059837Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0063822a82d80d21f7265675254f35680b25cf280cff024c86f403cdf0637655

Aliases

arxiv: 1102.5580 · arxiv_version: 1102.5580v2 · doi: 10.48550/arxiv.1102.5580 · pith_short_12: ABRYEKUC3AGS · pith_short_16: ABRYEKUC3AGSD5ZG · pith_short_8: ABRYEKUC

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/ABRYEKUC3AGSD5ZGKZ2SKTZVNA \
  | 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: 0063822a82d80d21f7265675254f35680b25cf280cff024c86f403cdf0637655

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c83837a281f6a3bf4372eab3b40719e4841c9a72e3cde586b52f423a773c917b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2011-02-28T02:46:53Z",
    "title_canon_sha256": "4f1d9c656baf3a33d903d939209ea7ed2f11987ca0039911b9fc8de8345e8a7e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1102.5580",
    "kind": "arxiv",
    "version": 2
  }
}