Pith Number

pith:L4KBYVFX

pith:2011:L4KBYVFX7RMUHLFG3BZBIRNPLI

not attested not anchored not stored refs pending

Decomposition of Cellular Balleans

Anastasiia Tsvietkova, Ihor Protasov

arxiv:1108.1422 v1 · 2011-08-05 · math.GR · math.GN

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{L4KBYVFX7RMUHLFG3BZBIRNPLI}

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	2026-05-18T04:16:01.132065Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5f141c54b7fc5943aca6d8721445af5a30210475d065e5864e3eb7f4c65f6828

Aliases

arxiv: 1108.1422 · arxiv_version: 1108.1422v1 · doi: 10.48550/arxiv.1108.1422 · pith_short_12: L4KBYVFX7RMU · pith_short_16: L4KBYVFX7RMUHLFG · pith_short_8: L4KBYVFX

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/L4KBYVFX7RMUHLFG3BZBIRNPLI \
  | 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: 5f141c54b7fc5943aca6d8721445af5a30210475d065e5864e3eb7f4c65f6828

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "02c1920f457913633ef637298e4ce27dbc0511ec3ce5b723b72ed6cd16efcaba",
    "cross_cats_sorted": [
      "math.GN"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2011-08-05T22:42:02Z",
    "title_canon_sha256": "360250cac7d473eb18831f985cfc3956441054f48450da4b8fdfa58f680ab39e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1108.1422",
    "kind": "arxiv",
    "version": 1
  }
}