Pith Number

pith:5NLIROZ5

pith:2014:5NLIROZ5HPJOTGGPJPMMBXUHIQ

not attested not anchored not stored refs pending

Partial regularities and $a^*$-invariants of Borel type ideals

Dancheng Lu, Lizhong Chu

arxiv:1412.3962 v1 · 2014-12-12 · 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{5NLIROZ5HPJOTGGPJPMMBXUHIQ}

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	2026-05-18T02:31:28.181386Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

eb5688bb3d3bd2e998cf4bd8c0de874428b864f360aace94256a4076de5a46cd

Aliases

arxiv: 1412.3962 · arxiv_version: 1412.3962v1 · doi: 10.48550/arxiv.1412.3962 · pith_short_12: 5NLIROZ5HPJO · pith_short_16: 5NLIROZ5HPJOTGGP · pith_short_8: 5NLIROZ5

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/5NLIROZ5HPJOTGGPJPMMBXUHIQ \
  | 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: eb5688bb3d3bd2e998cf4bd8c0de874428b864f360aace94256a4076de5a46cd

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "39ea78aa516e00a2fe108ad4f6fe1d1b0d797d608b454e30c36650da45c6f7f3",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2014-12-12T11:52:00Z",
    "title_canon_sha256": "da7e223f23831e0c573a869b206733d9083d1ca445dde91604934da1a4ecfc35"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1412.3962",
    "kind": "arxiv",
    "version": 1
  }
}