Pith Number

pith:DD2IH3OF

pith:2015:DD2IH3OFNJZRZKHH7AP3LJS65J

not attested not anchored not stored refs pending

The Assouad dimensions of projections of planar sets

Jonathan M. Fraser, Tuomas Orponen

arxiv:1509.01128 v2 · 2015-09-03 · math.CA · math.DS · 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{DD2IH3OFNJZRZKHH7AP3LJS65J}

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	2026-05-18T00:45:08.616939Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

18f483edc56a731ca8e7f81fb5a65eea72c961159bb48c5e9ece987a6b17d9ab

Aliases

arxiv: 1509.01128 · arxiv_version: 1509.01128v2 · doi: 10.48550/arxiv.1509.01128 · pith_short_12: DD2IH3OFNJZR · pith_short_16: DD2IH3OFNJZRZKHH · pith_short_8: DD2IH3OF

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/DD2IH3OFNJZRZKHH7AP3LJS65J \
  | 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: 18f483edc56a731ca8e7f81fb5a65eea72c961159bb48c5e9ece987a6b17d9ab

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ef2ae7b13529711cb0e5a28f7c58a11618253442f17adfb88d4a4b9b53449520",
    "cross_cats_sorted": [
      "math.DS",
      "math.MG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2015-09-03T15:38:03Z",
    "title_canon_sha256": "fe18877ea69d1925f17375ae3f07cc954e6da8b785bbe1a12e705ed4380ce683"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1509.01128",
    "kind": "arxiv",
    "version": 2
  }
}