Pith Number

pith:5PNF5P4L

pith:2014:5PNF5P4L7GYLJ6NGVG5KMCBWNE

not attested not anchored not stored refs pending

Sixty Years of Fractal Projections

Jonathan Fraser, Kenneth Falconer, Xiong Jin

arxiv:1411.3156 v1 · 2014-11-12 · 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{5PNF5P4L7GYLJ6NGVG5KMCBWNE}

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	2026-05-18T02:37:45.637109Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ebda5ebf8bf9b0b4f9a6a9baa608366930eacb170ac186cd5bf6cabd62431732

Aliases

arxiv: 1411.3156 · arxiv_version: 1411.3156v1 · doi: 10.48550/arxiv.1411.3156 · pith_short_12: 5PNF5P4L7GYL · pith_short_16: 5PNF5P4L7GYLJ6NG · pith_short_8: 5PNF5P4L

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/5PNF5P4L7GYLJ6NGVG5KMCBWNE \
  | 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: ebda5ebf8bf9b0b4f9a6a9baa608366930eacb170ac186cd5bf6cabd62431732

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "108fb9d2fb0059e7dca3243f3be210f7cfe4a67ca7ff5979a8de1ee22a12322a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.MG",
    "submitted_at": "2014-11-12T12:28:21Z",
    "title_canon_sha256": "7287b592c640bef711b773f2ec2d71c7f7324c535f975dbfeb60dc34c7627332"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1411.3156",
    "kind": "arxiv",
    "version": 1
  }
}