Pith Number

pith:W5UDAZEE

pith:2017:W5UDAZEEL3DYYXNWR2CEPVMQ4B

not attested not anchored not stored refs pending

Epsilon-approximations and epsilon-nets

Kasturi R. Varadarajan, Nabil H. Mustafa

arxiv:1702.03676 v3 · 2017-02-13 · cs.CG · math.CO · math.PR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{W5UDAZEEL3DYYXNWR2CEPVMQ4B}

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	2026-05-18T00:38:30.402656Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b7683064845ec78c5db68e8447d590e06dcc2e65b6ae3cec7a8f31ff2f1e8eef

Aliases

arxiv: 1702.03676 · arxiv_version: 1702.03676v3 · doi: 10.48550/arxiv.1702.03676 · pith_short_12: W5UDAZEEL3DY · pith_short_16: W5UDAZEEL3DYYXNW · pith_short_8: W5UDAZEE

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/W5UDAZEEL3DYYXNWR2CEPVMQ4B \
  | 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: b7683064845ec78c5db68e8447d590e06dcc2e65b6ae3cec7a8f31ff2f1e8eef

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8b6b9330eb0b9aab427d6ab9404ad189510ecec5db8ef69958230af426251440",
    "cross_cats_sorted": [
      "math.CO",
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.CG",
    "submitted_at": "2017-02-13T08:54:44Z",
    "title_canon_sha256": "5d703dd9d8b40ebba703f913a861ffe49f23f3310e6d401c041a535cc615eccd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1702.03676",
    "kind": "arxiv",
    "version": 3
  }
}