Pith Number

pith:2ZIEVUOB

pith:2015:2ZIEVUOBSLLKKNUYHETVGLHRCS

not attested not anchored not stored refs pending

Bouquet algebra of toric ideals

Apostolos Thoma, Marius Vladoiu, Sonja Petrovi\'c

arxiv:1507.02740 v3 · 2015-07-09 · 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{2ZIEVUOBSLLKKNUYHETVGLHRCS}

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	2026-05-18T00:31:14.128829Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d6504ad1c192d6a536983927532cf114a50c20b6fda1a8d58432be83aeb7c8e3

Aliases

arxiv: 1507.02740 · arxiv_version: 1507.02740v3 · doi: 10.48550/arxiv.1507.02740 · pith_short_12: 2ZIEVUOBSLLK · pith_short_16: 2ZIEVUOBSLLKKNUY · pith_short_8: 2ZIEVUOB

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/2ZIEVUOBSLLKKNUYHETVGLHRCS \
  | 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: d6504ad1c192d6a536983927532cf114a50c20b6fda1a8d58432be83aeb7c8e3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5d505065a6773271ad2977914c3a42f76db47170b9b899f8b8f8fa981077e9a7",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2015-07-09T23:21:23Z",
    "title_canon_sha256": "672f33ce877eb34d721e3a64ab23cd00a916a211555ecc9c1ca11b608b28f89a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1507.02740",
    "kind": "arxiv",
    "version": 3
  }
}