Pith Number

pith:RWEF7ZGQ

pith:2019:RWEF7ZGQFR4B3HTPNN5K3IHALQ

not attested not anchored not stored refs pending

A Nonpositive Curvature Property of Modular Semilattices

Hiroshi Hirai

arxiv:1905.01449 v1 · 2019-05-04 · 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{RWEF7ZGQFR4B3HTPNN5K3IHALQ}

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	2026-05-17T23:46:58.509087Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8d885fe4d02c781d9e6f6b7aada0e05c0f080377715e209fb9ed79f9e5aa94a0

Aliases

arxiv: 1905.01449 · arxiv_version: 1905.01449v1 · doi: 10.48550/arxiv.1905.01449 · pith_short_12: RWEF7ZGQFR4B · pith_short_16: RWEF7ZGQFR4B3HTP · pith_short_8: RWEF7ZGQ

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/RWEF7ZGQFR4B3HTPNN5K3IHALQ \
  | 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: 8d885fe4d02c781d9e6f6b7aada0e05c0f080377715e209fb9ed79f9e5aa94a0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0832575c3742ae649c82596fcadb319233433dc7b4d2922177ef8bc3e9e063d5",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.MG",
    "submitted_at": "2019-05-04T07:28:00Z",
    "title_canon_sha256": "6f44ccbe88c9d48a4511b259226ee47a93e49e4e730652970d3b8371ed7a8329"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1905.01449",
    "kind": "arxiv",
    "version": 1
  }
}