Pith Number

pith:ISG75LN5

pith:2010:ISG75LN5N6JFED4Y7BDG5IPT2Y

not attested not anchored not stored refs pending

Holes or Empty Pseudo-Triangles in Planar Point Sets

Bhaswar B. Bhattacharya, Sandip Das

arxiv:1011.0517 v3 · 2010-11-02 · 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{ISG75LN5N6JFED4Y7BDG5IPT2Y}

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	2026-05-18T03:43:05.432897Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

448dfeadbd6f92520f98f8466ea1f3d6046ddb8f19371e9e28800eec4261684e

Aliases

arxiv: 1011.0517 · arxiv_version: 1011.0517v3 · doi: 10.48550/arxiv.1011.0517 · pith_short_12: ISG75LN5N6JF · pith_short_16: ISG75LN5N6JFED4Y · pith_short_8: ISG75LN5

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/ISG75LN5N6JFED4Y7BDG5IPT2Y \
  | 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: 448dfeadbd6f92520f98f8466ea1f3d6046ddb8f19371e9e28800eec4261684e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "75a2a92092de178dc5b8d910d0c7cf46f08af4d27ad4a5217f5ec5287d996114",
    "cross_cats_sorted": [
      "cs.DM"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2010-11-02T05:52:05Z",
    "title_canon_sha256": "5e368f4fe49ec0157734131d1e359ae900e26f6d33edbb951f31ab4e3f8a9c3d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1011.0517",
    "kind": "arxiv",
    "version": 3
  }
}