Pith Number

pith:25L5D2JZ

pith:2011:25L5D2JZ5NAUMHRM3FJL3SVPNP

not attested not anchored not stored refs pending

On critical values of self-similar sets

Dusan Pokorny

arxiv:1101.1219 v3 · 2011-01-06 · 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{25L5D2JZ5NAUMHRM3FJL3SVPNP}

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	2026-05-18T04:13:47.069147Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d757d1e939eb41461e2cd952bdcaaf6bc8fac42fd5b92ea10e3c0df1303c7538

Aliases

arxiv: 1101.1219 · arxiv_version: 1101.1219v3 · doi: 10.48550/arxiv.1101.1219 · pith_short_12: 25L5D2JZ5NAU · pith_short_16: 25L5D2JZ5NAUMHRM · pith_short_8: 25L5D2JZ

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/25L5D2JZ5NAUMHRM3FJL3SVPNP \
  | 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: d757d1e939eb41461e2cd952bdcaaf6bc8fac42fd5b92ea10e3c0df1303c7538

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2807ad9de78bd28f683aebbf789fdd62ca6639a6135f33261a5b1ddc65d170ef",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.MG",
    "submitted_at": "2011-01-06T14:21:53Z",
    "title_canon_sha256": "b30b2e2fcd811bb38bfaffeb2ec46483ab9b8938e9581a2a43ec334c45db2cb4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1101.1219",
    "kind": "arxiv",
    "version": 3
  }
}