Pith Number

pith:KT3TRR7S

pith:2017:KT3TRR7SRTTNDFKTEKKH6QTTKV

not attested not anchored not stored refs pending

Characterizations of Ideal Cluster Points

Fabio Maccheroni, Paolo Leonetti

arxiv:1707.03281 v4 · 2017-07-11 · math.CA · math.FA · math.GN · math.NT · 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{KT3TRR7SRTTNDFKTEKKH6QTTKV}

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	2026-05-17T23:53:52.202053Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

54f738c7f28ce6d1955322947f4273554c9d9b8e18bdb828b9a5938a4dbcc061

Aliases

arxiv: 1707.03281 · arxiv_version: 1707.03281v4 · doi: 10.48550/arxiv.1707.03281 · pith_short_12: KT3TRR7SRTTN · pith_short_16: KT3TRR7SRTTNDFKT · pith_short_8: KT3TRR7S

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/KT3TRR7SRTTNDFKTEKKH6QTTKV \
  | 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: 54f738c7f28ce6d1955322947f4273554c9d9b8e18bdb828b9a5938a4dbcc061

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "25799258fe6360c94ca4ffd7708e2d46ec7beb48266e82f96b9a87ad6b92019d",
    "cross_cats_sorted": [
      "math.FA",
      "math.GN",
      "math.NT",
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2017-07-11T14:07:33Z",
    "title_canon_sha256": "7e48cc55dbce135df3c30b79f0f0d5a533b7def8b90ee0d84f3236cf650caf23"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1707.03281",
    "kind": "arxiv",
    "version": 4
  }
}