Pith Number

pith:H7EUGMJR

pith:2016:H7EUGMJRUQU7HNOYP2H3QFFFMQ

not attested not anchored not stored refs pending

The magnitude of a metric space: from category theory to geometric measure theory

Mark W. Meckes, Tom Leinster

arxiv:1606.00095 v2 · 2016-06-01 · math.MG · math.CT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{H7EUGMJRUQU7HNOYP2H3QFFFMQ}

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	2026-05-18T00:36:09.760286Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3fc9433131a429f3b5d87e8fb814a5642cc4c45c77e72f2ca6d9512dda0b2df4

Aliases

arxiv: 1606.00095 · arxiv_version: 1606.00095v2 · doi: 10.48550/arxiv.1606.00095 · pith_short_12: H7EUGMJRUQU7 · pith_short_16: H7EUGMJRUQU7HNOY · pith_short_8: H7EUGMJR

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/H7EUGMJRUQU7HNOYP2H3QFFFMQ \
  | 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: 3fc9433131a429f3b5d87e8fb814a5642cc4c45c77e72f2ca6d9512dda0b2df4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "25b862964846b8da594e3e537640c34f9034cd0e1b846121bf9af1d40410b02b",
    "cross_cats_sorted": [
      "math.CT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.MG",
    "submitted_at": "2016-06-01T02:17:39Z",
    "title_canon_sha256": "8ba5e090f19fd8ca590eae8ee8e18ea093cba2945c19e87c4d71f91e91d675d3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1606.00095",
    "kind": "arxiv",
    "version": 2
  }
}