Pith Number

pith:SJBCGF35

pith:2016:SJBCGF35QLDIZQBGM3OPDZBXQU

not attested not anchored not stored refs pending

Bratteli-Vershik models for partial actions of $\mathbb{Z}$

Charles Starling, Daniel Gon\c{c}alves, Thierry Giordano

arxiv:1611.04389 v2 · 2016-11-14 · math.DS · math.OA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{SJBCGF35QLDIZQBGM3OPDZBXQU}

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	2026-05-18T00:58:50.506966Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

924223177d82c68cc02666dcf1e4378526f29ea317f6e6bc04e049ef8f00601d

Aliases

arxiv: 1611.04389 · arxiv_version: 1611.04389v2 · doi: 10.48550/arxiv.1611.04389 · pith_short_12: SJBCGF35QLDI · pith_short_16: SJBCGF35QLDIZQBG · pith_short_8: SJBCGF35

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/SJBCGF35QLDIZQBGM3OPDZBXQU \
  | 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: 924223177d82c68cc02666dcf1e4378526f29ea317f6e6bc04e049ef8f00601d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b3dc4d76d319c0f691e19cb64f2da7f103af0f3cb1245c3071a234e2f4066c1d",
    "cross_cats_sorted": [
      "math.OA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2016-11-14T14:19:20Z",
    "title_canon_sha256": "ad1a34122f2cafde880f22ea473190a882b951847211e7b29aad3bcfa9549211"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1611.04389",
    "kind": "arxiv",
    "version": 2
  }
}