Pith Number

pith:7B6QZW4R

pith:2012:7B6QZW4RBN4AGEIPLE3ONZ7GCZ

not attested not anchored not stored refs pending

Hilbert schemes of points for associative algebras

Michael Larsen, Valery A. Lunts

arxiv:1205.2767 v2 · 2012-05-12 · 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{7B6QZW4RBN4AGEIPLE3ONZ7GCZ}

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	2026-05-18T03:54:49.945656Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f87d0cdb910b7803110f5936e6e7e61658f7bf96288323b4b6cd63ea5a268ffb

Aliases

arxiv: 1205.2767 · arxiv_version: 1205.2767v2 · doi: 10.48550/arxiv.1205.2767 · pith_short_12: 7B6QZW4RBN4A · pith_short_16: 7B6QZW4RBN4AGEIP · pith_short_8: 7B6QZW4R

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/7B6QZW4RBN4AGEIPLE3ONZ7GCZ \
  | 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: f87d0cdb910b7803110f5936e6e7e61658f7bf96288323b4b6cd63ea5a268ffb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9bcafd42c001295cac711f59fcd9c5ecf21167b7f9b6aa45aa7b627ee35aac51",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2012-05-12T11:15:48Z",
    "title_canon_sha256": "e22472a5d20a3814b905279a1a42bf140eb890bb10de9d472ce8cd7df0f5bf16"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1205.2767",
    "kind": "arxiv",
    "version": 2
  }
}