Pith Number

pith:ZUSHVOYU

pith:2021:ZUSHVOYUJPJYY46MA4LURKVRJV

not attested not anchored not stored refs pending

Toric Ideals of Weighted Oriented Graphs

Augustine O'Keefe, Jennifer Biermann, Kuei-Nuan Lin, Selvi Kara

arxiv:2107.04524 v1 · 2021-07-09 · 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{ZUSHVOYUJPJYY46MA4LURKVRJV}

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	2026-07-05T02:56:34.288675Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cd247abb144bd38c73cc071748aab14d50d2f0518fb7d3ddef4fcee4049a3813

Aliases

arxiv: 2107.04524 · arxiv_version: 2107.04524v1 · doi: 10.48550/arxiv.2107.04524 · pith_short_12: ZUSHVOYUJPJY · pith_short_16: ZUSHVOYUJPJYY46M · pith_short_8: ZUSHVOYU

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/ZUSHVOYUJPJYY46MA4LURKVRJV \
  | 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: cd247abb144bd38c73cc071748aab14d50d2f0518fb7d3ddef4fcee4049a3813

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e06ec556eb07971209593d1bdd3e37daf7e8b13fe0ce812d421e33e80fc16819",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2021-07-09T16:18:18Z",
    "title_canon_sha256": "698e4b01e496b74182ed0b94f26539b9522c23e6a748e2092ef730cfaa45592f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2107.04524",
    "kind": "arxiv",
    "version": 1
  }
}