Pith Number

pith:65ZJNZ7C

pith:2015:65ZJNZ7C3AVDBUQIKHNCLQURGO

not attested not anchored not stored refs pending

On new fractal phenomena connected with infinite linear IFS

Grygoriy Torbin, Roman Nikiforov, Sergio Albeverio, Yuri Kondratiev

arxiv:1507.05672 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{65ZJNZ7C3AVDBUQIKHNCLQURGO}

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	2026-05-18T01:36:32.774933Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f77296e7e2d82a30d20851da25c29133b5025ef865e903b505c45ceb0a17a2ba

Aliases

arxiv: 1507.05672 · arxiv_version: 1507.05672v1 · doi: 10.48550/arxiv.1507.05672 · pith_short_12: 65ZJNZ7C3AVD · pith_short_16: 65ZJNZ7C3AVDBUQI · pith_short_8: 65ZJNZ7C

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/65ZJNZ7C3AVDBUQIKHNCLQURGO \
  | 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: f77296e7e2d82a30d20851da25c29133b5025ef865e903b505c45ceb0a17a2ba

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "884932055e528d3dc1fbb3d9974cd754145e3c9ea61df6ed10f92d250842271f",
    "cross_cats_sorted": [
      "math.FA",
      "math.NT",
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.MG",
    "submitted_at": "2015-07-20T22:53:51Z",
    "title_canon_sha256": "ccf28bb3eadc66882b196b93cf8d4cfad9e2ae74fb002279b6062a5e1269cc57"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1507.05672",
    "kind": "arxiv",
    "version": 1
  }
}