Pith Number

pith:ASF5WQAB

pith:2018:ASF5WQAB6W3Z5XZVGQ74BJSX6Z

not attested not anchored not stored refs pending

Description of closure operators in convex geometries of segments on a line

Gent Gjonbalaj, Kira Adaricheva

arxiv:1808.02561 v1 · 2018-08-07 · math.CO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ASF5WQAB6W3Z5XZVGQ74BJSX6Z}

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	2026-05-18T00:08:35.023013Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

048bdb4001f5b79edf35343fc0a657f676708a53e67042177ce495178017c4df

Aliases

arxiv: 1808.02561 · arxiv_version: 1808.02561v1 · doi: 10.48550/arxiv.1808.02561 · pith_short_12: ASF5WQAB6W3Z · pith_short_16: ASF5WQAB6W3Z5XZV · pith_short_8: ASF5WQAB

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/ASF5WQAB6W3Z5XZVGQ74BJSX6Z \
  | 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: 048bdb4001f5b79edf35343fc0a657f676708a53e67042177ce495178017c4df

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "478f96b55e7d6e07639c325cba0a8c0bce3dae41e4e0db9b2c55fd65e69e5c77",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2018-08-07T21:54:05Z",
    "title_canon_sha256": "99f4db23407ef708e44429dbb7f2f03d17e8264bf238a70cbcd8b00852da94e7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1808.02561",
    "kind": "arxiv",
    "version": 1
  }
}