Pith Number

pith:7NPKGOV6

pith:2018:7NPKGOV6PT5DLPBDLGQB36RHJ2

not attested not anchored not stored refs pending

The normality and bounded growth of balleans

Igor Protasov, Taras Banakh

arxiv:1810.07979 v4 · 2018-10-18 · math.GN · math.CT · 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{7NPKGOV6PT5DLPBDLGQB36RHJ2}

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	2026-05-18T00:01:26.080032Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fb5ea33abe7cfa35bc2359a01dfa274e8f07ae1822f245ceba0aa7d6bc378015

Aliases

arxiv: 1810.07979 · arxiv_version: 1810.07979v4 · doi: 10.48550/arxiv.1810.07979 · pith_short_12: 7NPKGOV6PT5D · pith_short_16: 7NPKGOV6PT5DLPBD · pith_short_8: 7NPKGOV6

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/7NPKGOV6PT5DLPBDLGQB36RHJ2 \
  | 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: fb5ea33abe7cfa35bc2359a01dfa274e8f07ae1822f245ceba0aa7d6bc378015

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ade29411b304a310085a8be1be51e0336dad41e0bc00817e08f398c871c7acb5",
    "cross_cats_sorted": [
      "math.CT",
      "math.MG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GN",
    "submitted_at": "2018-10-18T10:15:20Z",
    "title_canon_sha256": "2d1aeaf82ee3855fddb09aed908e5621bda80de81de6f87ce2265b2edb88cf29"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1810.07979",
    "kind": "arxiv",
    "version": 4
  }
}