Pith Number

pith:GXLBJWSQ

pith:2018:GXLBJWSQI2RCHU6R5FSLKTKXGA

not attested not anchored not stored refs pending

Average Behavior of Minimal Free Resolutions of Monomial Ideals

Jes\'us A. De Loera, Lily Silverstein, Robert Krone, Serkan Ho\c{s}ten

arxiv:1802.06537 v2 · 2018-02-19 · math.AC · math.CO · math.PR

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{GXLBJWSQI2RCHU6R5FSLKTKXGA}

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	2026-05-18T00:04:13.261746Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

35d614da5046a223d3d1e964b54d57300a09db9c98540a0ff75bd076622d65d3

Aliases

arxiv: 1802.06537 · arxiv_version: 1802.06537v2 · doi: 10.48550/arxiv.1802.06537 · pith_short_12: GXLBJWSQI2RC · pith_short_16: GXLBJWSQI2RCHU6R · pith_short_8: GXLBJWSQ

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/GXLBJWSQI2RCHU6R5FSLKTKXGA \
  | 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: 35d614da5046a223d3d1e964b54d57300a09db9c98540a0ff75bd076622d65d3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f57e061bc02d263419970bec48582c127e2833a0aca39fc754042ad6103f6f51",
    "cross_cats_sorted": [
      "math.CO",
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2018-02-19T07:54:32Z",
    "title_canon_sha256": "9917b51533a647ee3bafda0c81d8e1661ffe8af9392ab48033d97cec14bf1f86"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1802.06537",
    "kind": "arxiv",
    "version": 2
  }
}