Pith Number

pith:GG3KQLYI

pith:2009:GG3KQLYI2YVYSZPVXSP5T5CU7C

not attested not anchored not stored refs pending

An application of Groebner bases to planarity of intersection of surfaces

Branko Malesevic, Marija Obradovic

arxiv:0901.1862 v4 · 2009-01-13 · math.AC · math.MG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{GG3KQLYI2YVYSZPVXSP5T5CU7C}

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	2026-07-04T15:42:05.538748Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

31b6a82f08d62b8965f5bc9fd9f454f8bff579a521cc1aa86ca7c9cb8953c63a

Aliases

arxiv: 0901.1862 · arxiv_version: 0901.1862v4 · doi: 10.48550/arxiv.0901.1862 · pith_short_12: GG3KQLYI2YVY · pith_short_16: GG3KQLYI2YVYSZPV · pith_short_8: GG3KQLYI

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/GG3KQLYI2YVYSZPVXSP5T5CU7C \
  | 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: 31b6a82f08d62b8965f5bc9fd9f454f8bff579a521cc1aa86ca7c9cb8953c63a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "38f703aaedb8124c324f88d1b492f0d7a16939c06aa5a1acbe440f2c414a7158",
    "cross_cats_sorted": [
      "math.MG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2009-01-13T19:11:58Z",
    "title_canon_sha256": "8367cbbba8519bf0405bc20f904248a505679ce69234fa347664f10affcddbb0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0901.1862",
    "kind": "arxiv",
    "version": 4
  }
}