Pith Number

pith:GLG34Z33

pith:2012:GLG34Z33EIXBHT2P7BQAZNMTI7

not attested not anchored not stored refs pending

Higher connectivity of fiber graphs of Gr\"obner bases

Samu Potka

arxiv:1209.1533 v2 · 2012-09-07 · math.CO · math.AC · math.ST · stat.TH

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{GLG34Z33EIXBHT2P7BQAZNMTI7}

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	2026-05-18T03:08:47.589091Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

32cdbe677b222e13cf4ff8600cb59347c8dcaf725ab30db477af442224a8b061

Aliases

arxiv: 1209.1533 · arxiv_version: 1209.1533v2 · doi: 10.48550/arxiv.1209.1533 · pith_short_12: GLG34Z33EIXB · pith_short_16: GLG34Z33EIXBHT2P · pith_short_8: GLG34Z33

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/GLG34Z33EIXBHT2P7BQAZNMTI7 \
  | 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: 32cdbe677b222e13cf4ff8600cb59347c8dcaf725ab30db477af442224a8b061

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9b2c67c34c8aaccdabd03c13b8bf897cd79ba95cea90ba05109393b8f16255b5",
    "cross_cats_sorted": [
      "math.AC",
      "math.ST",
      "stat.TH"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2012-09-07T13:37:05Z",
    "title_canon_sha256": "a21d35ba108479ba663af8e58b8e8f590e460c3848f4d3c853e13bd588be20f6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1209.1533",
    "kind": "arxiv",
    "version": 2
  }
}