Pith Number

pith:5DONGLU7

pith:2026:5DONGLU7PHBHTDELKJF3BGJL5G

not attested not anchored not stored refs pending

On quantization and the classical variational principle for the metric mean dimension

Gustavo Pessil, Maria Carvalho

arxiv:2603.17091 v3 · 2026-03-17 · math.DS

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{5DONGLU7PHBHTDELKJF3BGJL5G}

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	2026-05-21T02:05:01.190542Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e8dcd32e9f79c2798c8b524bb0992be9bf87344bb85ae93c0a1fb99fd9dca4c5

Aliases

arxiv: 2603.17091 · arxiv_version: 2603.17091v3 · doi: 10.48550/arxiv.2603.17091 · pith_short_12: 5DONGLU7PHBH · pith_short_16: 5DONGLU7PHBHTDEL · pith_short_8: 5DONGLU7

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/5DONGLU7PHBHTDELKJF3BGJL5G \
  | 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: e8dcd32e9f79c2798c8b524bb0992be9bf87344bb85ae93c0a1fb99fd9dca4c5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f9261d81492558b396793e2934e2fac6e0ab698ea0874d11308b6d1ad4afc149",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2026-03-17T19:25:09Z",
    "title_canon_sha256": "912114a55b591019f53d66112f20d8cc1dadd5f98e2453e7ab304c71b3307c61"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2603.17091",
    "kind": "arxiv",
    "version": 3
  }
}