Pith Number

pith:6G5HHWMK

pith:2026:6G5HHWMK6BTC5R26PGT7CD6BQK

not attested not anchored not stored refs pending

Brascamp--Lieb inequalities for fractal dimensions

Jonathan M. Fraser

arxiv:2605.20412 v1 · 2026-05-19 · math.FA · math.CA · 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{6G5HHWMK6BTC5R26PGT7CD6BQK}

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	2026-05-21T01:04:36.976366Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f1ba73d98af0662ec75e79a7f10fc1829396cda0f081d58251a986442a369eef

Aliases

arxiv: 2605.20412 · arxiv_version: 2605.20412v1 · doi: 10.48550/arxiv.2605.20412 · pith_short_12: 6G5HHWMK6BTC · pith_short_16: 6G5HHWMK6BTC5R26 · pith_short_8: 6G5HHWMK

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/6G5HHWMK6BTC5R26PGT7CD6BQK \
  | 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: f1ba73d98af0662ec75e79a7f10fc1829396cda0f081d58251a986442a369eef

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f00da6ca74d49bac17a469eeeefd53e5b86f30ce2171b62b524f01723f64657c",
    "cross_cats_sorted": [
      "math.CA",
      "math.MG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2026-05-19T19:07:51Z",
    "title_canon_sha256": "a1b3c8229459ad51548fb393f53bb25b2d2cf0c3146a6caad15e4bce58a77833"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2605.20412",
    "kind": "arxiv",
    "version": 1
  }
}