Pith Number

pith:PCIR4PK3

pith:2023:PCIR4PK3RU7LGE7GVUHTDSNZ4J

not attested not anchored not stored refs pending

A variational principle relating self-affine measures to self-affine sets

Cagri Sert, Ian D. Morris

arxiv:2303.03437 v2 · 2023-03-06 · 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{PCIR4PK3RU7LGE7GVUHTDSNZ4J}

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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.

Cited by

1 paper in Pith

Projections of self-affine fractals

Receipt and verification

First computed	2026-07-05T06:04:54.892182Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

78911e3d5b8d3eb313e6ad0f31c9b9e273b1adf3da94c61867ba06641e6d8478

Aliases

arxiv: 2303.03437 · arxiv_version: 2303.03437v2 · doi: 10.48550/arxiv.2303.03437 · pith_short_12: PCIR4PK3RU7L · pith_short_16: PCIR4PK3RU7LGE7G · pith_short_8: PCIR4PK3

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/PCIR4PK3RU7LGE7GVUHTDSNZ4J \
  | 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: 78911e3d5b8d3eb313e6ad0f31c9b9e273b1adf3da94c61867ba06641e6d8478

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5cffc7efc7a2a8df68f3f29700c6dd24c255ee2315fc13e8a63cc8523cef51f1",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2023-03-06T19:01:27Z",
    "title_canon_sha256": "206d51d1a242daf9a0b2a141f4492cbfa7d0f2c2338e5d25b87a5f90b34bbe7c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2303.03437",
    "kind": "arxiv",
    "version": 2
  }
}