Pith Number

pith:MQ24TMGD

pith:2011:MQ24TMGDAHLEWU4B2ATNTOYIBX

not attested not anchored not stored refs pending

On the dimension of graphs of Weierstrass-type functions with rapidly growing frequencies

Krzysztof Baranski

arxiv:1105.4960 v1 · 2011-05-25 · math.MG · 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{MQ24TMGDAHLEWU4B2ATNTOYIBX}

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	2026-05-18T03:53:17.619914Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6435c9b0c301d64b5381d026d9bb080de32aa5700e74fc48858234985fef5f87

Aliases

arxiv: 1105.4960 · arxiv_version: 1105.4960v1 · doi: 10.48550/arxiv.1105.4960 · pith_short_12: MQ24TMGDAHLE · pith_short_16: MQ24TMGDAHLEWU4B · pith_short_8: MQ24TMGD

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/MQ24TMGDAHLEWU4B2ATNTOYIBX \
  | 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: 6435c9b0c301d64b5381d026d9bb080de32aa5700e74fc48858234985fef5f87

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "45e26c625e69aa797cc9b747e89c21e4c58a219f5e8af53bf554141d903fcc45",
    "cross_cats_sorted": [
      "math.DS"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.MG",
    "submitted_at": "2011-05-25T08:04:30Z",
    "title_canon_sha256": "c1ddadbe7a7ab5e995433e9a1914df96268d37a71e633e895ec665d7b58b1d7b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1105.4960",
    "kind": "arxiv",
    "version": 1
  }
}