Pith Number

pith:GM4G7MW5

pith:2020:GM4G7MW5AIKTED3TUPOLUJ53KO

not attested not anchored not stored refs pending

Combinatorics of intervals in the plane I: trapezoids

Daniel di Benedetto, Ethan White, Jozsef Solymosi

arxiv:2005.09003 v1 · 2020-05-18 · 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{GM4G7MW5AIKTED3TUPOLUJ53KO}

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	2026-07-05T01:03:45.738003Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

33386fb2dd0215320f73a3dcba27bb539c79c1c6b16fc7262e2f0aa77616e9ea

Aliases

arxiv: 2005.09003 · arxiv_version: 2005.09003v1 · doi: 10.48550/arxiv.2005.09003 · pith_short_12: GM4G7MW5AIKT · pith_short_16: GM4G7MW5AIKTED3T · pith_short_8: GM4G7MW5

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/GM4G7MW5AIKTED3TUPOLUJ53KO \
  | 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: 33386fb2dd0215320f73a3dcba27bb539c79c1c6b16fc7262e2f0aa77616e9ea

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a11ee0716411b7c91d3e326366e28158ec6ee582f25a86fec550869485e0d334",
    "cross_cats_sorted": [
      "cs.CG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2020-05-18T18:06:30Z",
    "title_canon_sha256": "ed29bc14b8cab4262cf3635fe6c29fdf09b398a8912a2ef2d3f86c30e9f32291"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2005.09003",
    "kind": "arxiv",
    "version": 1
  }
}