Pith Number

pith:2G335ACD

pith:2012:2G335ACDBQA742F35XCR73OHGW

not attested not anchored not stored refs pending

Expansions of monomial ideals and multigraded modules

J\"urgen Herzog, Shamila Bayati

arxiv:1205.3599 v1 · 2012-05-16 · 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{2G335ACDBQA742F35XCR73OHGW}

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	2026-05-18T03:55:34.650903Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d1b7be80430c01fe68bbedc51fedc735ae91c48c0146f12836e34103f61fb169

Aliases

arxiv: 1205.3599 · arxiv_version: 1205.3599v1 · doi: 10.48550/arxiv.1205.3599 · pith_short_12: 2G335ACDBQA7 · pith_short_16: 2G335ACDBQA742F3 · pith_short_8: 2G335ACD

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/2G335ACDBQA742F35XCR73OHGW \
  | 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: d1b7be80430c01fe68bbedc51fedc735ae91c48c0146f12836e34103f61fb169

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2624617a02eb2286684b7ef4c177217451d843b3d06ca39067c81703349a68f4",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2012-05-16T08:47:40Z",
    "title_canon_sha256": "3419cd667e744c569b2dc3d2d771bd05ee430fba33510c034f97bdab42ac6748"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1205.3599",
    "kind": "arxiv",
    "version": 1
  }
}