Pith Number

pith:SIPES7XO

pith:2012:SIPES7XOU5LWKAKTHSUBQ4C2TC

not attested not anchored not stored refs pending

Containments of symbolic powers of ideals of generic points in $\PP^3$

Marcin Dumnicki

arxiv:1212.0718 v1 · 2012-12-04 · math.AG · math.AC

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{SIPES7XOU5LWKAKTHSUBQ4C2TC}

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	2026-05-18T03:39:15.415536Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

921e497eeea7576501533ca818705a98be01ef246477fef7b8766c17baf7544b

Aliases

arxiv: 1212.0718 · arxiv_version: 1212.0718v1 · doi: 10.48550/arxiv.1212.0718 · pith_short_12: SIPES7XOU5LW · pith_short_16: SIPES7XOU5LWKAKT · pith_short_8: SIPES7XO

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/SIPES7XOU5LWKAKTHSUBQ4C2TC \
  | 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: 921e497eeea7576501533ca818705a98be01ef246477fef7b8766c17baf7544b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "996891ce6e884ec7aefe896402de356f3bb98670f64da460faec545d450cb21c",
    "cross_cats_sorted": [
      "math.AC"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2012-12-04T13:40:00Z",
    "title_canon_sha256": "d37e3b34dbe6e1801e248ea6ea1dbe13cd125545807ee6b9d325600e03fd37f8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1212.0718",
    "kind": "arxiv",
    "version": 1
  }
}