Pith Number

pith:ONT2CJ77

pith:2019:ONT2CJ77YIKCF3TMMKPS6ZBAPL

not attested not anchored not stored refs pending

Approximating the Convex Hull via Metric Space Magnitude

Dan Dickinson, Eric Bunch, Glenn Fung

arxiv:1908.02692 v1 · 2019-08-07 · math.AT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ONT2CJ77YIKCF3TMMKPS6ZBAPL}

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	2026-07-04T23:52:11.389644Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7367a127ffc21422ee6c629f2f64207afc8a3bd28a96deb18465d11b4c933916

Aliases

arxiv: 1908.02692 · arxiv_version: 1908.02692v1 · doi: 10.48550/arxiv.1908.02692 · pith_short_12: ONT2CJ77YIKC · pith_short_16: ONT2CJ77YIKCF3TM · pith_short_8: ONT2CJ77

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/ONT2CJ77YIKCF3TMMKPS6ZBAPL \
  | 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: 7367a127ffc21422ee6c629f2f64207afc8a3bd28a96deb18465d11b4c933916

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e6ce5be7a21035cebf8bb68cd2d1a82365b023fc20f96e775ccb659f40a6c158",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AT",
    "submitted_at": "2019-08-07T15:55:27Z",
    "title_canon_sha256": "4e85c480cf2f0285ee30db59035d319e5397dd33b84c964fbba382e211806f28"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1908.02692",
    "kind": "arxiv",
    "version": 1
  }
}