Pith Number

pith:2T3DB5VG

pith:2015:2T3DB5VG3WXY2RF7WZBGAOVJ57

not attested not anchored not stored refs pending

Hausdorff dimension, intersection of projections and exceptional plane sections

Pertti Mattila, Tuomas Orponen

arxiv:1509.05724 v1 · 2015-09-18 · math.CA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{2T3DB5VG3WXY2RF7WZBGAOVJ57}

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	2026-05-18T01:10:33.210516Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d4f630f6a6ddaf8d44bfb642603aa9efea28f2f64c133f49c1f7217494a606cf

Aliases

arxiv: 1509.05724 · arxiv_version: 1509.05724v1 · doi: 10.48550/arxiv.1509.05724 · pith_short_12: 2T3DB5VG3WXY · pith_short_16: 2T3DB5VG3WXY2RF7 · pith_short_8: 2T3DB5VG

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/2T3DB5VG3WXY2RF7WZBGAOVJ57 \
  | 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: d4f630f6a6ddaf8d44bfb642603aa9efea28f2f64c133f49c1f7217494a606cf

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8b16bc5be0dcf66bc2050763e37afccc3a9102c1bec3ac2ffc996d887d742805",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2015-09-18T17:36:49Z",
    "title_canon_sha256": "93f0636a2a15fc814680c81f423c9607822655d3a040544cdc999bd20725342c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1509.05724",
    "kind": "arxiv",
    "version": 1
  }
}