Pith Number

pith:W5DDS3MM

pith:2009:W5DDS3MMBRKEO52QFTBPLINVHF

not attested not anchored not stored refs pending

Schreier graphs of the Basilica group

Alfredo Donno, Daniele D'Angeli, Michel Matter, Tatiana Nagnibeda

arxiv:0911.2915 v5 · 2009-11-15 · math.GR · math.DS

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{W5DDS3MMBRKEO52QFTBPLINVHF}

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	2026-05-18T02:24:46.280910Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b746396d8c0c544777502cc2f5a1b53972381ee7bcddb56c17ed28c20b1e73b8

Aliases

arxiv: 0911.2915 · arxiv_version: 0911.2915v5 · doi: 10.48550/arxiv.0911.2915 · pith_short_12: W5DDS3MMBRKE · pith_short_16: W5DDS3MMBRKEO52Q · pith_short_8: W5DDS3MM

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/W5DDS3MMBRKEO52QFTBPLINVHF \
  | 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: b746396d8c0c544777502cc2f5a1b53972381ee7bcddb56c17ed28c20b1e73b8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "78d91d6f51d60b86ecdc2f046bdf243491d1479dd4c197d5eafa7a31d6a987a5",
    "cross_cats_sorted": [
      "math.DS"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2009-11-15T21:43:43Z",
    "title_canon_sha256": "0e55e89d901f2d7a687139869edd9f1aea85fd4de8e42311d3ed2955cf6df086"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0911.2915",
    "kind": "arxiv",
    "version": 5
  }
}