Pith Number

pith:P42NXNN3

pith:2011:P42NXNN3CKVPC7DQ5E25S3E7IN

not attested not anchored not stored refs pending

Containment results for ideals of various configurations of points in P^N

Brian Harbourne, Cristiano Bocci, Susan Cooper

arxiv:1109.1884 v3 · 2011-09-09 · 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{P42NXNN3CKVPC7DQ5E25S3E7IN}

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	2026-05-18T03:20:57.099163Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7f34dbb5bb12aaf17c70e935d96c9f4376b60717d8e2e98ca9de0afb343c9725

Aliases

arxiv: 1109.1884 · arxiv_version: 1109.1884v3 · doi: 10.48550/arxiv.1109.1884 · pith_short_12: P42NXNN3CKVP · pith_short_16: P42NXNN3CKVPC7DQ · pith_short_8: P42NXNN3

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/P42NXNN3CKVPC7DQ5E25S3E7IN \
  | 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: 7f34dbb5bb12aaf17c70e935d96c9f4376b60717d8e2e98ca9de0afb343c9725

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "13cfb5ed10d8e8ae88717d50b21b0060d4fdcfcb2cda5f024fcb604ef1456d63",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2011-09-09T03:03:27Z",
    "title_canon_sha256": "f1b74b06396d5f4a316efe92897e6d56e238430ae1c352d9824b3e3db99ed471"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1109.1884",
    "kind": "arxiv",
    "version": 3
  }
}