Pith Number

pith:LEEGMVVH

pith:2012:LEEGMVVH5LFPY7HPQ7K4SFLJST

not attested not anchored not stored refs pending

Linear subspaces, symbolic powers and Nagata type conjectures

Brian Harbourne, Halszka Tutaj-Gasi\'nska, Marcin Dumnicki, Tomasz Szemberg

arxiv:1207.1159 v2 · 2012-07-05 · 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{LEEGMVVH5LFPY7HPQ7K4SFLJST}

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	2026-05-18T01:17:26.312730Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

59086656a7eacafc7cef87d5c9156994cca5ff60bf20586bb4bcd2264163d682

Aliases

arxiv: 1207.1159 · arxiv_version: 1207.1159v2 · doi: 10.48550/arxiv.1207.1159 · pith_short_12: LEEGMVVH5LFP · pith_short_16: LEEGMVVH5LFPY7HP · pith_short_8: LEEGMVVH

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/LEEGMVVH5LFPY7HPQ7K4SFLJST \
  | 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: 59086656a7eacafc7cef87d5c9156994cca5ff60bf20586bb4bcd2264163d682

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5c4ff9ab98654949fbf34337214956024a8963394b82646fb9d253de76e9dd98",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2012-07-05T03:56:40Z",
    "title_canon_sha256": "adef66440e9284e772eea59b35cf1a0e4b0b4948ae542523f9776bd6c78c21c3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1207.1159",
    "kind": "arxiv",
    "version": 2
  }
}