Pith Number

pith:B5L5HSCD

pith:2022:B5L5HSCD6TZJFYM24UWUIKOP6J

not attested not anchored not stored refs pending

Round Trees and Conformal Dimension in Random Groups: low density to high density

Jordan Frost

arxiv:2204.05165 v1 · 2022-04-11 · math.GR · 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{B5L5HSCD6TZJFYM24UWUIKOP6J}

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.

Cited by

1 paper in Pith

Visual metrics on boundaries of hyperbolic spaces

Receipt and verification

First computed	2026-07-05T04:13:18.028311Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0f57d3c843f4f292e19ae52d4429cff26ce8d293699406b60c1bba3c57a892f9

Aliases

arxiv: 2204.05165 · arxiv_version: 2204.05165v1 · doi: 10.48550/arxiv.2204.05165 · pith_short_12: B5L5HSCD6TZJ · pith_short_16: B5L5HSCD6TZJFYM2 · pith_short_8: B5L5HSCD

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/B5L5HSCD6TZJFYM24UWUIKOP6J \
  | 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: 0f57d3c843f4f292e19ae52d4429cff26ce8d293699406b60c1bba3c57a892f9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "89eebe9608c0836930fbfe4d42d87862b08f1a771a717f825c7a560a6a5a1ca8",
    "cross_cats_sorted": [
      "math.GT"
    ],
    "license": "http://creativecommons.org/licenses/by-sa/4.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2022-04-11T14:52:09Z",
    "title_canon_sha256": "a8d5e4f28fc8743074717dfd4da70d08c222b1d0848ea47a9032acffece54d98"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2204.05165",
    "kind": "arxiv",
    "version": 1
  }
}