Pith Number

pith:DH2XL363

pith:2011:DH2XL363OHQEGUOCHTZ4CESRER

not attested not anchored not stored refs pending

The Poisson boundary of CAT(0) cube complex groups

Amos Nevo, Michah Sageev

arxiv:1105.1675 v1 · 2011-05-09 · 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{DH2XL363OHQEGUOCHTZ4CESRER}

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	2026-05-18T04:22:32.704660Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

19f575efdb71e04351c23cf3c112512466610783eb9aec2cf67e124b7a678fdb

Aliases

arxiv: 1105.1675 · arxiv_version: 1105.1675v1 · doi: 10.48550/arxiv.1105.1675 · pith_short_12: DH2XL363OHQE · pith_short_16: DH2XL363OHQEGUOC · pith_short_8: DH2XL363

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/DH2XL363OHQEGUOCHTZ4CESRER \
  | 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: 19f575efdb71e04351c23cf3c112512466610783eb9aec2cf67e124b7a678fdb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9bd8662984fdc20cc7fe162ec68fca2fc9409918a126aae23a80b5c1a61f7860",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2011-05-09T14:13:56Z",
    "title_canon_sha256": "2c4b0a6fff5f98e1a8c61e570315109bb35a60e2da596d735b98f55829aeed91"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1105.1675",
    "kind": "arxiv",
    "version": 1
  }
}