Pith Number

pith:VJI5W244

pith:2018:VJI5W244LE2CEHRJN7AWPGQ7WM

not attested not anchored not stored refs pending

Multi-Rees Algebras and Toric Dynamical Systems

David A. Cox, Gabriel Sosa, Kuei-Nuan Lin

arxiv:1806.08184 v2 · 2018-06-21 · 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{VJI5W244LE2CEHRJN7AWPGQ7WM}

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	2026-05-17T23:54:39.495067Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

aa51db6b9c5934221e296fc1679a1fb3371061e6c85c0c4d3576324abf795fca

Aliases

arxiv: 1806.08184 · arxiv_version: 1806.08184v2 · doi: 10.48550/arxiv.1806.08184 · pith_short_12: VJI5W244LE2C · pith_short_16: VJI5W244LE2CEHRJ · pith_short_8: VJI5W244

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/VJI5W244LE2CEHRJN7AWPGQ7WM \
  | 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: aa51db6b9c5934221e296fc1679a1fb3371061e6c85c0c4d3576324abf795fca

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "504a21914f0371d3243d02b99bc6627ae846c4296ff686d31ae2f3ea79713be3",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2018-06-21T11:53:32Z",
    "title_canon_sha256": "f70b8a31d9457e47a7292bc9847296c5186111faffaf98403b9487779ef66ea6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1806.08184",
    "kind": "arxiv",
    "version": 2
  }
}