Pith Number

pith:DME3L3GB

pith:2017:DME3L3GBATMGLXXFUGJU2W7AHA

not attested not anchored not stored refs pending

Boundary optimization for rough sets

Konrad Engel, Tran Dan Thu

arxiv:1709.05109 v1 · 2017-09-15 · 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{DME3L3GBATMGLXXFUGJU2W7AHA}

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	2026-05-17T23:42:49.920813Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1b09b5ecc104d865dee5a1934d5be0381ee60c2ea09883c7ce3688135c061a71

Aliases

arxiv: 1709.05109 · arxiv_version: 1709.05109v1 · doi: 10.48550/arxiv.1709.05109 · pith_short_12: DME3L3GBATMG · pith_short_16: DME3L3GBATMGLXXF · pith_short_8: DME3L3GB

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/DME3L3GBATMGLXXFUGJU2W7AHA \
  | 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: 1b09b5ecc104d865dee5a1934d5be0381ee60c2ea09883c7ce3688135c061a71

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "085c86a4b415c355e9c6ddcdcada49181f2b980a6ff7096b1cd95e2108e9a032",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2017-09-15T08:52:34Z",
    "title_canon_sha256": "3954891e9e60c193a96d340e322869c4f7381ae8b4b288cdefebd3f0daeb79a3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1709.05109",
    "kind": "arxiv",
    "version": 1
  }
}