Pith Number

pith:72IUI4E5

pith:2015:72IUI4E5ZMAXYLZ7MTNYJZTS7W

not attested not anchored not stored refs pending

Cantor series expansions and packing dimension faithfulness

Grygoriy Torbin, Mykola Lebid, Oleksandr Slutskyi, Yuri Kondratiev

arxiv:1507.05663 v1 · 2015-07-20 · math.MG · math.FA · math.NT · 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{72IUI4E5ZMAXYLZ7MTNYJZTS7W}

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	2026-05-18T01:36:32.791411Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fe9144709dcb017c2f3f64db84e672fda2c898dba6e90b8ddca273cc3cef2331

Aliases

arxiv: 1507.05663 · arxiv_version: 1507.05663v1 · doi: 10.48550/arxiv.1507.05663 · pith_short_12: 72IUI4E5ZMAX · pith_short_16: 72IUI4E5ZMAXYLZ7 · pith_short_8: 72IUI4E5

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/72IUI4E5ZMAXYLZ7MTNYJZTS7W \
  | 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: fe9144709dcb017c2f3f64db84e672fda2c898dba6e90b8ddca273cc3cef2331

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "27c46dc5bf953abb7535a8c73cd90be9724a35bdfc03018cfb476eebbf515fb5",
    "cross_cats_sorted": [
      "math.FA",
      "math.NT",
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.MG",
    "submitted_at": "2015-07-20T21:41:23Z",
    "title_canon_sha256": "c3d3974f89daa4eb3ae6c927598c4ce29f36deae6eef81ee7f5e2fd74f14eddd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1507.05663",
    "kind": "arxiv",
    "version": 1
  }
}