Pith Number

pith:ZWNXTRDI

pith:2015:ZWNXTRDIAFNSNNOGOGBLG57VVI

not attested not anchored not stored refs pending

An alternative algorithm for computing the Betti table of a monomial ideal

Maria-Laura Torrente, Matteo Varbaro

arxiv:1507.01183 v2 · 2015-07-05 · 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{ZWNXTRDIAFNSNNOGOGBLG57VVI}

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	2026-05-18T01:36:12.623238Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cd9b79c468015b26b5c67182b377f5aa29aea84c64eb704aa88cbf5df64bfb2c

Aliases

arxiv: 1507.01183 · arxiv_version: 1507.01183v2 · doi: 10.48550/arxiv.1507.01183 · pith_short_12: ZWNXTRDIAFNS · pith_short_16: ZWNXTRDIAFNSNNOG · pith_short_8: ZWNXTRDI

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/ZWNXTRDIAFNSNNOGOGBLG57VVI \
  | 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: cd9b79c468015b26b5c67182b377f5aa29aea84c64eb704aa88cbf5df64bfb2c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f427b8a8b05fb4949acfbedbb8b4772972e4029d387bab1c9ca8d05ad09fb727",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2015-07-05T09:44:05Z",
    "title_canon_sha256": "855e61ccce47f652d90be88ee1c3037ac4c44142e41eb256a1012b77feb11cbc"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1507.01183",
    "kind": "arxiv",
    "version": 2
  }
}