Pith Number

pith:O6DVCK4K

pith:2015:O6DVCK4KFVTDSL4VLSG36XT5BZ

not attested not anchored not stored refs pending

Hyperbolic groups with boundary an n-dimensional Sierpinski space

Bena Tshishiku, Jean-Fran\c{c}ois Lafont

arxiv:1505.03817 v1 · 2015-05-14 · math.GT · math.GR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{O6DVCK4KFVTDSL4VLSG36XT5BZ}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more

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	2026-05-17T23:52:19.334362Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7787512b8a2d66392f955c8dbf5e7d0e4092eac639799416635d81ec32c36f4c

Aliases

arxiv: 1505.03817 · arxiv_version: 1505.03817v1 · doi: 10.48550/arxiv.1505.03817 · pith_short_12: O6DVCK4KFVTD · pith_short_16: O6DVCK4KFVTDSL4V · pith_short_8: O6DVCK4K

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/O6DVCK4KFVTDSL4VLSG36XT5BZ \
  | 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: 7787512b8a2d66392f955c8dbf5e7d0e4092eac639799416635d81ec32c36f4c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2356f3bc82d3f72e5caf4aa1a98a3699436d6243cbfafa5f6e82e8bb87338987",
    "cross_cats_sorted": [
      "math.GR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2015-05-14T18:01:10Z",
    "title_canon_sha256": "c0ccf3e7af5b3c4f95894f21384e3aa34c5eaf0fff4cd02da639138438eeb8f8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1505.03817",
    "kind": "arxiv",
    "version": 1
  }
}