Pith Number

pith:Y5YZ7WP6

pith:2010:Y5YZ7WP6WJ4YVBQYOOIEX7WR32

not attested not anchored not stored refs pending

A new compact class of open sets under Hausdorff distance and shape optimization

Donghui Yang

arxiv:1004.2874 v2 · 2010-03-20 · math.GN · math.OC

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{Y5YZ7WP6WJ4YVBQYOOIEX7WR32}

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	2026-05-18T04:42:13.611450Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c7719fd9feb2798a861873904bfed1deae4976881d459c5b281ec7cad9719e1b

Aliases

arxiv: 1004.2874 · arxiv_version: 1004.2874v2 · doi: 10.48550/arxiv.1004.2874 · pith_short_12: Y5YZ7WP6WJ4Y · pith_short_16: Y5YZ7WP6WJ4YVBQY · pith_short_8: Y5YZ7WP6

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/Y5YZ7WP6WJ4YVBQYOOIEX7WR32 \
  | 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: c7719fd9feb2798a861873904bfed1deae4976881d459c5b281ec7cad9719e1b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a6e412dd383358d04157c7c7f82abe185b17b133231731c2bf10c75ba85404f1",
    "cross_cats_sorted": [
      "math.OC"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GN",
    "submitted_at": "2010-03-20T06:35:25Z",
    "title_canon_sha256": "d585029018d7965342f8a9db60b438b8429f53756bd397b54b4c7a90c99d293f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1004.2874",
    "kind": "arxiv",
    "version": 2
  }
}