Pith Number

pith:BHHJZSFP

pith:2013:BHHJZSFPUAV634V6K3LRKQ45VB

not attested not anchored not stored refs pending

On the equivalence of several definitions of compact infra-solvmanifolds

Li Yu, Shintaro Kuroki

arxiv:1305.4270 v2 · 2013-05-18 · math.GT · math.AT · 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{BHHJZSFPUAV634V6K3LRKQ45VB}

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	2026-05-18T02:41:09.059239Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

09ce9cc8afa02bedf2be56d715439da84c9642d88d76a92c6b269ee32617fc6d

Aliases

arxiv: 1305.4270 · arxiv_version: 1305.4270v2 · doi: 10.48550/arxiv.1305.4270 · pith_short_12: BHHJZSFPUAV6 · pith_short_16: BHHJZSFPUAV634V6 · pith_short_8: BHHJZSFP

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/BHHJZSFPUAV634V6K3LRKQ45VB \
  | 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: 09ce9cc8afa02bedf2be56d715439da84c9642d88d76a92c6b269ee32617fc6d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9428b9235eb55f1040f038e7b3dc303703bdc244670f5341bf8cc21ae03728f3",
    "cross_cats_sorted": [
      "math.AT",
      "math.DG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2013-05-18T14:52:11Z",
    "title_canon_sha256": "0a01d140b147cf578bc86d94d6df0ab28708ffb6e37424e629c480c9897983ab"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1305.4270",
    "kind": "arxiv",
    "version": 2
  }
}