Pith Number

pith:HIJZG3DA

pith:2018:HIJZG3DAZN34UFWQMJ3UCIT2US

not attested not anchored not stored refs pending

On self-similar measures with absolutely continuous projections and dimension conservation in each direction

Ariel Rapaport

arxiv:1809.09923 v1 · 2018-09-26 · 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{HIJZG3DAZN34UFWQMJ3UCIT2US}

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	2026-05-18T00:04:43.273532Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3a13936c60cb77ca16d0627741227aa4b3fb4376aa2f56014466e6cce9624b64

Aliases

arxiv: 1809.09923 · arxiv_version: 1809.09923v1 · doi: 10.48550/arxiv.1809.09923 · pith_short_12: HIJZG3DAZN34 · pith_short_16: HIJZG3DAZN34UFWQ · pith_short_8: HIJZG3DA

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/HIJZG3DAZN34UFWQMJ3UCIT2US \
  | 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: 3a13936c60cb77ca16d0627741227aa4b3fb4376aa2f56014466e6cce9624b64

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "88a880ed965d3bff34f8595cf24b27731456b11a955b00e601ba053b52717470",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2018-09-26T11:56:52Z",
    "title_canon_sha256": "220d392501a56020e6d999ce17662917cdaebeeff9fd35372cd58c654043fb8b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1809.09923",
    "kind": "arxiv",
    "version": 1
  }
}