Pith Number

pith:TPSWA42Z

pith:2014:TPSWA42Z7XTNRWCM6DRPJQG2G2

not attested not anchored not stored refs pending

The Poisson boundary of $\text{Out}(F_N)$

Camille Horbez

arxiv:1405.7938 v1 · 2014-05-30 · math.GR · math.GT · math.PR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{TPSWA42Z7XTNRWCM6DRPJQG2G2}

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	2026-05-18T01:21:05.449044Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9be5607359fde6d8d84cf0e2f4c0da36ac19e7f462ff1fac892453bf94992b95

Aliases

arxiv: 1405.7938 · arxiv_version: 1405.7938v1 · doi: 10.48550/arxiv.1405.7938 · pith_short_12: TPSWA42Z7XTN · pith_short_16: TPSWA42Z7XTNRWCM · pith_short_8: TPSWA42Z

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/TPSWA42Z7XTNRWCM6DRPJQG2G2 \
  | 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: 9be5607359fde6d8d84cf0e2f4c0da36ac19e7f462ff1fac892453bf94992b95

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "846dec83d1847b0adb5c7dbf538a5345f07e64b90aac01537347b31645f90a49",
    "cross_cats_sorted": [
      "math.GT",
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2014-05-30T18:12:35Z",
    "title_canon_sha256": "bee55df920f8e88042fe57ea2a119fc9f9d8bbfdf6712b9284d3d221f4a5e90a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1405.7938",
    "kind": "arxiv",
    "version": 1
  }
}