Pith Number

pith:PWEY7GN5

pith:2024:PWEY7GN5JSU4TLEX3RKKCJJ7MI

not attested not anchored not stored refs pending

Volume entropy of a family of rank one, split-solvable Lie groups of Abelian type

Rene Garcia-Lara

arxiv:2410.10631 v1 · 2024-10-14 · math.DG · math.MG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{PWEY7GN5JSU4TLEX3RKKCJJ7MI}

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

Volume growth of horospheres in diagonalizable Heintze groups

Receipt and verification

First computed	2026-07-05T09:20:18.912491Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7d898f99bd4ca9c9ac97dc54a1253f621ed854704fdee8d10cd860bdb1fd8745

Aliases

arxiv: 2410.10631 · arxiv_version: 2410.10631v1 · doi: 10.48550/arxiv.2410.10631 · pith_short_12: PWEY7GN5JSU4 · pith_short_16: PWEY7GN5JSU4TLEX · pith_short_8: PWEY7GN5

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/PWEY7GN5JSU4TLEX3RKKCJJ7MI \
  | 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: 7d898f99bd4ca9c9ac97dc54a1253f621ed854704fdee8d10cd860bdb1fd8745

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7acc5e583e78a4fde562269df20c04568a264fb034086facbf9fbb7e5a0218ea",
    "cross_cats_sorted": [
      "math.MG"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2024-10-14T15:39:33Z",
    "title_canon_sha256": "1d0ddedcb608b4027dd1a238309d05cc82460e2a501f43d18c3a936fdd6ddf1a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2410.10631",
    "kind": "arxiv",
    "version": 1
  }
}