Pith Number

pith:P46ITIJZ

pith:2014:P46ITIJZ7GY5SWQ6444434O7RL

not attested not anchored not stored refs pending

Betti splitting via componentwise linear ideals

Davide Bolognini

arxiv:1410.6511 v2 · 2014-10-23 · math.AC · math.CO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{P46ITIJZ7GY5SWQ6444434O7RL}

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	2026-05-18T01:37:47.405775Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7f3c89a139f9b1d95a1ee739cdf1df8aeb40ac4d83aba2643b04f6dbb25ffedf

Aliases

arxiv: 1410.6511 · arxiv_version: 1410.6511v2 · doi: 10.48550/arxiv.1410.6511 · pith_short_12: P46ITIJZ7GY5 · pith_short_16: P46ITIJZ7GY5SWQ6 · pith_short_8: P46ITIJZ

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/P46ITIJZ7GY5SWQ6444434O7RL \
  | 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: 7f3c89a139f9b1d95a1ee739cdf1df8aeb40ac4d83aba2643b04f6dbb25ffedf

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6842788d707d4a69b389378cbc65035c57a212ea51c2abfca0c8127af8296f7b",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2014-10-23T21:30:43Z",
    "title_canon_sha256": "e0a74719f4475585e769b96602840dd9f22ef07ab122d4fad44f8bbadf61b9f1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1410.6511",
    "kind": "arxiv",
    "version": 2
  }
}