Pith Number

pith:P645MRYK

pith:2019:P645MRYKN4XHBZSV74NMWF6B6G

not attested not anchored not stored refs pending

On the Lipschitz dimension of Cheeger-Kleiner

Guy C. David

arxiv:1908.04421 v1 · 2019-08-12 · 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{P645MRYKN4XHBZSV74NMWF6B6G}

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	2026-07-04T23:55:13.626344Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7fb9d6470a6f2e70e655ff1acb17c1f1ac1933af0d8eaa25796a67cc34ef4647

Aliases

arxiv: 1908.04421 · arxiv_version: 1908.04421v1 · doi: 10.48550/arxiv.1908.04421 · pith_short_12: P645MRYKN4XH · pith_short_16: P645MRYKN4XHBZSV · pith_short_8: P645MRYK

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/P645MRYKN4XHBZSV74NMWF6B6G \
  | 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: 7fb9d6470a6f2e70e655ff1acb17c1f1ac1933af0d8eaa25796a67cc34ef4647

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8094397aed83b389f4f01bc3766ead9660f3f7ede1d2a35eee4ed86dcd71ff4c",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.MG",
    "submitted_at": "2019-08-12T22:11:59Z",
    "title_canon_sha256": "697579d6980d127eaeae1493df8c5a8fd80c35d47b9ccb5b092bebb965ed998c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1908.04421",
    "kind": "arxiv",
    "version": 1
  }
}