Pith Number

pith:W5OKOQM6

pith:2023:W5OKOQM6EBQJH4ROGV6ONHQPEE

not attested not anchored not stored refs pending

Principal bundle structure of the space of metric measure spaces

Daisuke Kazukawa, Hiroki Nakajima, Takashi Shioya

arxiv:2304.06880 v1 · 2023-04-14 · math.MG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{W5OKOQM6EBQJH4ROGV6ONHQPEE}

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.

Cited by

1 paper in Pith

Observable diameters with varying screens

Receipt and verification

First computed	2026-06-03T14:05:14.923145Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b75ca7419e206093f22e357ce69e0f211923a5656d273e3f1a33bed663f6a792

Aliases

arxiv: 2304.06880 · arxiv_version: 2304.06880v1 · doi: 10.48550/arxiv.2304.06880 · pith_short_12: W5OKOQM6EBQJ · pith_short_16: W5OKOQM6EBQJH4RO · pith_short_8: W5OKOQM6

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/W5OKOQM6EBQJH4ROGV6ONHQPEE \
  | 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: b75ca7419e206093f22e357ce69e0f211923a5656d273e3f1a33bed663f6a792

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a43dfd6910cc04451b5cc093ac8c782894b2bc30c04069d9a1c2b3d1c94915ae",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.MG",
    "submitted_at": "2023-04-14T01:15:33Z",
    "title_canon_sha256": "8ea0c788acf6a071cbb794cdb60ebf9b10240cba3a58a3fc080a10e11655bb30"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2304.06880",
    "kind": "arxiv",
    "version": 1
  }
}