Pith Number

pith:PREP5HDO

pith:2011:PREP5HDOU2V7FGM3QYARECLHYT

not attested not anchored not stored refs pending

Symbolic powers versus regular powers of ideals of general points in P^1 x P^1

Adam Van Tuyl, Brian Harbourne, Elena Guardo

arxiv:1107.4906 v2 · 2011-07-25 · math.AC · 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{PREP5HDOU2V7FGM3QYARECLHYT}

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	2026-05-18T04:01:49.653919Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7c48fe9c6ea6abf2999b8601120967c4d4d96a125364a2e89b22ef1b95797c17

Aliases

arxiv: 1107.4906 · arxiv_version: 1107.4906v2 · doi: 10.48550/arxiv.1107.4906 · pith_short_12: PREP5HDOU2V7 · pith_short_16: PREP5HDOU2V7FGM3 · pith_short_8: PREP5HDO

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/PREP5HDOU2V7FGM3QYARECLHYT \
  | 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: 7c48fe9c6ea6abf2999b8601120967c4d4d96a125364a2e89b22ef1b95797c17

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a82f399a719b55056bf7e70a1c46ef56746ca08d1bc973942c782cf8cbb8ab68",
    "cross_cats_sorted": [
      "math.AG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2011-07-25T11:48:30Z",
    "title_canon_sha256": "fbba8bdffb01d9d1f6097ce9d3d22c6a9820fcd6ec0ee7798e656715ffcc2145"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1107.4906",
    "kind": "arxiv",
    "version": 2
  }
}