Pith Number

pith:77FVBG2H

pith:2019:77FVBG2H3OMB635RKJWD6DUVHD

not attested not anchored not stored refs pending

On sets of $n$ points in general position that determine lines that can be pierced by $n$ points

Chaya Keller, Rom Pinchasi

arxiv:1908.06390 v1 · 2019-08-18 · math.CO · cs.CG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{77FVBG2H3OMB635RKJWD6DUVHD}

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	2026-07-04T23:58:15.292979Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ffcb509b47db981f6fb1526c3f0e9538e18ee3ab7eb8ac16c0b1d3ded2d4a080

Aliases

arxiv: 1908.06390 · arxiv_version: 1908.06390v1 · doi: 10.48550/arxiv.1908.06390 · pith_short_12: 77FVBG2H3OMB · pith_short_16: 77FVBG2H3OMB635R · pith_short_8: 77FVBG2H

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/77FVBG2H3OMB635RKJWD6DUVHD \
  | 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: ffcb509b47db981f6fb1526c3f0e9538e18ee3ab7eb8ac16c0b1d3ded2d4a080

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fe29ff18a4693830e71ae041e8c4606585833d73d7af5d82f9786c1070fb2741",
    "cross_cats_sorted": [
      "cs.CG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2019-08-18T07:51:13Z",
    "title_canon_sha256": "81edee6b49db851b7b41df7aa650e2ca456d814ed69fa1dc88198f653922b5dc"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1908.06390",
    "kind": "arxiv",
    "version": 1
  }
}