Pith Number

pith:3JKWHDSN

pith:2020:3JKWHDSNPF3TMUPI7QCAT3NI7W

not attested not anchored not stored refs pending

Distributions of Distances and Volumes of Balls in Homogeneous Lens Spaces

Brenden Balch, Chris Peterson, Clayton Shonkwiler

arxiv:2004.13196 v1 · 2020-04-27 · math.DG · math.GT · 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{3JKWHDSNPF3TMUPI7QCAT3NI7W}

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

Solving the Reachability Problem for Branching Vector Addition Systems via Semilinear Inductive Invariants

Receipt and verification

First computed	2026-07-05T03:03:24.888845Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

da55638e4d79773651e8fc0409eda8fd91fb9cacd1ae5dc219d53bb7daaa9505

Aliases

arxiv: 2004.13196 · arxiv_version: 2004.13196v1 · doi: 10.48550/arxiv.2004.13196 · pith_short_12: 3JKWHDSNPF3T · pith_short_16: 3JKWHDSNPF3TMUPI · pith_short_8: 3JKWHDSN

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/3JKWHDSNPF3TMUPI7QCAT3NI7W \
  | 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: da55638e4d79773651e8fc0409eda8fd91fb9cacd1ae5dc219d53bb7daaa9505

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c8748c929c4038306bcd27b5531e536c5ffc2cc32f2fa85157f63deb9f31e22f",
    "cross_cats_sorted": [
      "math.GT",
      "math.MG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2020-04-27T22:07:02Z",
    "title_canon_sha256": "c4ad63fabae4fa46c8cc891f1f05f21928acb9ad6c6ec9f99766650a305d1f72"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2004.13196",
    "kind": "arxiv",
    "version": 1
  }
}