Pith Number

pith:QARZK3TC

pith:2018:QARZK3TCOEF3GA26SDT5UK3UB5

not attested not anchored not stored refs pending

New Lower Bounds for the Number of Pseudoline Arrangements

Adrian Dumitrescu, Ritankar Mandal

arxiv:1809.03619 v2 · 2018-09-10 · math.CO · cs.DM

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{QARZK3TCOEF3GA26SDT5UK3UB5}

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	2026-05-17T23:58:52.554350Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8023956e62710bb3035e90e7da2b740f538ca75214fa721e4e139ac1c19a669f

Aliases

arxiv: 1809.03619 · arxiv_version: 1809.03619v2 · doi: 10.48550/arxiv.1809.03619 · pith_short_12: QARZK3TCOEF3 · pith_short_16: QARZK3TCOEF3GA26 · pith_short_8: QARZK3TC

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/QARZK3TCOEF3GA26SDT5UK3UB5 \
  | 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: 8023956e62710bb3035e90e7da2b740f538ca75214fa721e4e139ac1c19a669f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e53e2818cdaca0bf1cbf05a712640eff2dacf5c674fcd86fc046df680c1a8572",
    "cross_cats_sorted": [
      "cs.DM"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2018-09-10T22:39:07Z",
    "title_canon_sha256": "0bb90e1ff23d0ed6cd7291b1c3f1c88b41183a3dc6f1c2669a6775c0f93996ba"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1809.03619",
    "kind": "arxiv",
    "version": 2
  }
}