Pith Number

pith:LRT7NRGA

pith:2017:LRT7NRGA37C4JUPEXBXSFB2GFF

not attested not anchored not stored refs pending

From rate distortion theory to metric mean dimension: variational principle

Elon Lindenstrauss, Masaki Tsukamoto

arxiv:1702.05722 v1 · 2017-02-19 · math.DS · cs.IT · math.IT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{LRT7NRGA37C4JUPEXBXSFB2GFF}

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	2026-05-18T00:50:25.505071Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5c67f6c4c0dfc5c4d1e4b86f228746294f1c6fdfe13af74d3fa0a8b76582b67d

Aliases

arxiv: 1702.05722 · arxiv_version: 1702.05722v1 · doi: 10.48550/arxiv.1702.05722 · pith_short_12: LRT7NRGA37C4 · pith_short_16: LRT7NRGA37C4JUPE · pith_short_8: LRT7NRGA

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/LRT7NRGA37C4JUPEXBXSFB2GFF \
  | 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: 5c67f6c4c0dfc5c4d1e4b86f228746294f1c6fdfe13af74d3fa0a8b76582b67d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4d7c55921a941dd06ea34bdf7f24c1efa727b371a4fa259591ef4967053eb48b",
    "cross_cats_sorted": [
      "cs.IT",
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2017-02-19T08:41:48Z",
    "title_canon_sha256": "c0b0ea0266f66071e739ac47bb79cd0df5755d999c8d1c4ac4e8090f16e2cd4c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1702.05722",
    "kind": "arxiv",
    "version": 1
  }
}