Pith Number

pith:R26WVRRH

pith:2018:R26WVRRHITUDJ4INIMOEB5CY2E

not attested not anchored not stored refs pending

A fractal dimension for measures via persistent homology

Chris Peterson, Clayton Shonkwiler, Elin Farnell, Henry Adams, Joshua Mirth, Manuchehr Aminian, Michael Kirby, Patrick Shipman, Rachel Neville

arxiv:1808.01079 v4 · 2018-08-03 · math.DS · math.AT · math.PR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{R26WVRRHITUDJ4INIMOEB5CY2E}

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	2026-07-05T01:17:55.302833Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8ebd6ac62744e834f10d431c40f458d13c2f3507e8a9747b235042adef37c825

Aliases

arxiv: 1808.01079 · arxiv_version: 1808.01079v4 · doi: 10.48550/arxiv.1808.01079 · pith_short_12: R26WVRRHITUD · pith_short_16: R26WVRRHITUDJ4IN · pith_short_8: R26WVRRH

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/R26WVRRHITUDJ4INIMOEB5CY2E \
  | 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: 8ebd6ac62744e834f10d431c40f458d13c2f3507e8a9747b235042adef37c825

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a0ed62a3b3968cdd358745ec117d322027724104e473adc4f6ab113296c4ba9e",
    "cross_cats_sorted": [
      "math.AT",
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2018-08-03T03:45:22Z",
    "title_canon_sha256": "8f9baec92dc4feffe83e6322c9eec23e3bf1c572eedda2b9c547d5c927b09385"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1808.01079",
    "kind": "arxiv",
    "version": 4
  }
}