Pith Number

pith:WMHRMS67

pith:2013:WMHRMS67ZXPOE3TE66SL276TMT

not attested not anchored not stored refs pending

Measure and Hausdorff dimension of randomized Weierstrass-type functions

Julia Romanowska

arxiv:1312.2812 v1 · 2013-12-10 · 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{WMHRMS67ZXPOE3TE66SL276TMT}

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	2026-05-18T01:45:52.129688Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b30f164bdfcddee26e64f7a4bd7fd364d8b4631710720c79e8c7b4e23ffa6e53

Aliases

arxiv: 1312.2812 · arxiv_version: 1312.2812v1 · doi: 10.48550/arxiv.1312.2812 · pith_short_12: WMHRMS67ZXPO · pith_short_16: WMHRMS67ZXPOE3TE · pith_short_8: WMHRMS67

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/WMHRMS67ZXPOE3TE66SL276TMT \
  | 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: b30f164bdfcddee26e64f7a4bd7fd364d8b4631710720c79e8c7b4e23ffa6e53

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "58aab449b0f6a681629a3692d6edb8a5e164728bb392eec312ec93af5b2cd6d6",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2013-12-10T14:31:22Z",
    "title_canon_sha256": "2dae16f4a6b0f3cff1481cf01bc382d8d2e99ec747a003faee353b8f0e87d832"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1312.2812",
    "kind": "arxiv",
    "version": 1
  }
}