Pith Number

pith:BBIXOPIE

pith:2013:BBIXOPIEK3DMXUX27Z3KRXY7PB

not attested not anchored not stored refs pending

Results on the regularity of square-free monomial ideals

Huy T\`ai H\`a, Russ Woodroofe

arxiv:1301.6779 v3 · 2013-01-28 · math.CO · 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{BBIXOPIEK3DMXUX27Z3KRXY7PB}

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	2026-05-18T00:58:42.630572Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0851773d0456c6cbd2fafe76a8df1f784d941ffce2e7a6ab4addb01f10a66cc6

Aliases

arxiv: 1301.6779 · arxiv_version: 1301.6779v3 · doi: 10.48550/arxiv.1301.6779 · pith_short_12: BBIXOPIEK3DM · pith_short_16: BBIXOPIEK3DMXUX2 · pith_short_8: BBIXOPIE

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/BBIXOPIEK3DMXUX27Z3KRXY7PB \
  | 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: 0851773d0456c6cbd2fafe76a8df1f784d941ffce2e7a6ab4addb01f10a66cc6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "685eadcc11bfa1cd98c1d382225a8c242e359801e43f8b4e4219de15701f67f7",
    "cross_cats_sorted": [
      "math.AC"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2013-01-28T21:26:59Z",
    "title_canon_sha256": "c094d313fdf2dbeabd949d4de6006836acd2dd13807292747eece05d37e2a354"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1301.6779",
    "kind": "arxiv",
    "version": 3
  }
}