Pith Number

pith:T6FUX3YD

pith:2015:T6FUX3YD5XU37R6FI6SGPPC2MZ

not attested not anchored not stored refs pending

The Furstenberg Poisson Boundary and CAT(0) Cube Complexes

Talia Fern\'os

arxiv:1507.05511 v1 · 2015-07-20 · math.GR · math.DS · math.GT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{T6FUX3YD5XU37R6FI6SGPPC2MZ}

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	2026-05-18T01:36:36.610867Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9f8b4bef03ede9bfc7c547a467bc5a6650bc2b360928e5e6288229a54d34f2c3

Aliases

arxiv: 1507.05511 · arxiv_version: 1507.05511v1 · doi: 10.48550/arxiv.1507.05511 · pith_short_12: T6FUX3YD5XU3 · pith_short_16: T6FUX3YD5XU37R6F · pith_short_8: T6FUX3YD

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/T6FUX3YD5XU37R6FI6SGPPC2MZ \
  | 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: 9f8b4bef03ede9bfc7c547a467bc5a6650bc2b360928e5e6288229a54d34f2c3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d4df0bf2a249961fdbed0665699ce1729f170a52a6bdcbbd6fd3927df842c01b",
    "cross_cats_sorted": [
      "math.DS",
      "math.GT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2015-07-20T14:34:59Z",
    "title_canon_sha256": "2b35cfcfc9f171db0e4d6feb978271633b1d3ef78accfff8ce829ec07d031405"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1507.05511",
    "kind": "arxiv",
    "version": 1
  }
}