Pith Number

pith:DSYH4PXK

pith:2015:DSYH4PXKTO54IQQHTJJO5LHDWK

not attested not anchored not stored refs pending

Upper and Lower Bounds on Long Dual-Paths in Line Arrangements

Linda Kleist, Tillmann Miltzow, Udo Hoffmann

arxiv:1506.03728 v1 · 2015-06-11 · math.CO · cs.CG · 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{DSYH4PXKTO54IQQHTJJO5LHDWK}

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	2026-05-18T01:53:03.421268Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1cb07e3eea9bbbc442079a52eeace3b2b9986829d2be006e39fd1305064aa4c5

Aliases

arxiv: 1506.03728 · arxiv_version: 1506.03728v1 · doi: 10.48550/arxiv.1506.03728 · pith_short_12: DSYH4PXKTO54 · pith_short_16: DSYH4PXKTO54IQQH · pith_short_8: DSYH4PXK

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/DSYH4PXKTO54IQQHTJJO5LHDWK \
  | 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: 1cb07e3eea9bbbc442079a52eeace3b2b9986829d2be006e39fd1305064aa4c5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c5b25a938a8fc9dead68805708e9448abfcefe99bdbfa6c975f3928f17dc1651",
    "cross_cats_sorted": [
      "cs.CG",
      "cs.DM"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2015-06-11T16:09:05Z",
    "title_canon_sha256": "784090f5a9e1cadb4ba6bb330103a7877ae0182a2090b09a5067a1efffe31eb1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1506.03728",
    "kind": "arxiv",
    "version": 1
  }
}