Pith Number

pith:E3D7C363

pith:2010:E3D7C363AUJMN6NIZHPA4E5EBZ

not attested not anchored not stored refs pending

The magnitude of metric spaces

Tom Leinster

arxiv:1012.5857 v3 · 2010-12-29 · math.MG · math.CT · math.GN · math.GT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{E3D7C363AUJMN6NIZHPA4E5EBZ}

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	2026-05-18T02:23:06.151934Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

26c7f16fdb0512c6f9a8c9de0e13a40e6ca7946826baab844228e290ace35026

Aliases

arxiv: 1012.5857 · arxiv_version: 1012.5857v3 · doi: 10.48550/arxiv.1012.5857 · pith_short_12: E3D7C363AUJM · pith_short_16: E3D7C363AUJMN6NI · pith_short_8: E3D7C363

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/E3D7C363AUJMN6NIZHPA4E5EBZ \
  | 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: 26c7f16fdb0512c6f9a8c9de0e13a40e6ca7946826baab844228e290ace35026

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "646bbc1d9d31e25b0e91f793e3902b4a34fa019f09d5af8c13783a9dc62390c3",
    "cross_cats_sorted": [
      "math.CT",
      "math.GN",
      "math.GT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.MG",
    "submitted_at": "2010-12-29T00:44:37Z",
    "title_canon_sha256": "909b0fb8533ced49c596763b05da57b4329dfac73b88e9f5c88df37ac08f9bbc"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1012.5857",
    "kind": "arxiv",
    "version": 3
  }
}