Pith Number

pith:WICMSQQB

pith:2025:WICMSQQBZFYXC4J5PJMQRDEOI4

not attested not anchored not stored refs pending

Volume growth of horospheres in diagonalizable Heintze groups

Emiliano Sequeira, Gilles Courtois (SU), Pablo Lessa

arxiv:2505.16450 v1 · 2025-05-22 · math.DG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{WICMSQQBZFYXC4J5PJMQRDEOI4}

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	2026-07-05T11:07:35.741672Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b204c94201c97171713d7a59088c8e470f205f32d5745cd2476f7997b126b57d

Aliases

arxiv: 2505.16450 · arxiv_version: 2505.16450v1 · doi: 10.48550/arxiv.2505.16450 · pith_short_12: WICMSQQBZFYX · pith_short_16: WICMSQQBZFYXC4J5 · pith_short_8: WICMSQQB

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/WICMSQQBZFYXC4J5PJMQRDEOI4 \
  | 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: b204c94201c97171713d7a59088c8e470f205f32d5745cd2476f7997b126b57d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a182e957ef6d8f98a05ac86756d3475251633f5e0fe6fb84ca2ed5b4c35b7dbe",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2025-05-22T09:36:29Z",
    "title_canon_sha256": "046404802897af53b9d447329a47115cd46f7484116df2cba466545cf523d402"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2505.16450",
    "kind": "arxiv",
    "version": 1
  }
}