Pith Number

pith:DSS3EI4Z

pith:2016:DSS3EI4ZJ4QXHCEVU6LAA4H2SQ

not attested not anchored not stored refs pending

Ends of Schreier graphs and cut-points of limit spaces of self-similar groups

Daniele D'Angeli, Ievgen Bondarenko, Tatiana Nagnibeda

arxiv:1601.07587 v1 · 2016-01-27 · math.GR · math.CO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{DSS3EI4ZJ4QXHCEVU6LAA4H2SQ}

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	2026-05-18T00:01:47.571610Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1ca5b223994f21738895a7960070fa9436a5c28ec4bfbb66d43501a67cb3fbae

Aliases

arxiv: 1601.07587 · arxiv_version: 1601.07587v1 · doi: 10.48550/arxiv.1601.07587 · pith_short_12: DSS3EI4ZJ4QX · pith_short_16: DSS3EI4ZJ4QXHCEV · pith_short_8: DSS3EI4Z

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/DSS3EI4ZJ4QXHCEVU6LAA4H2SQ \
  | 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: 1ca5b223994f21738895a7960070fa9436a5c28ec4bfbb66d43501a67cb3fbae

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "89152011f5fae80955c587d786e8b320b364338556e55345b56b31ea20cce996",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2016-01-27T22:17:58Z",
    "title_canon_sha256": "1f3133811644cb17436ee68e4822c5a6b99575cdd3e9eb2f3176c0f0e027f7ee"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1601.07587",
    "kind": "arxiv",
    "version": 1
  }
}