Pith Number

pith:K4ZBYOOR

pith:2025:K4ZBYOOR47GG3RSIKJFU62ISKX

not attested not anchored not stored refs pending

Relative Positions of Half-sided Modular Inclusions

Ian Koot

arxiv:2503.18036 v1 · 2025-03-23 · math-ph · math.MP · math.OA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{K4ZBYOOR47GG3RSIKJFU62ISKX}

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

Inclusions of Standard Subspaces

Receipt and verification

First computed	2026-07-05T10:38:00.999809Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

57321c39d1e7cc6dc648524b4f691255eab9a5390ddb3c2960b327469b4fb2ce

Aliases

arxiv: 2503.18036 · arxiv_version: 2503.18036v1 · doi: 10.48550/arxiv.2503.18036 · pith_short_12: K4ZBYOOR47GG · pith_short_16: K4ZBYOOR47GG3RSI · pith_short_8: K4ZBYOOR

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/K4ZBYOOR47GG3RSIKJFU62ISKX \
  | 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: 57321c39d1e7cc6dc648524b4f691255eab9a5390ddb3c2960b327469b4fb2ce

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "54cf3065bd322c54e1b89d963bd92876f1b143fa9ce4fba51ce79d3aa31a3069",
    "cross_cats_sorted": [
      "math.MP",
      "math.OA"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2025-03-23T11:40:18Z",
    "title_canon_sha256": "949581bc5098f167b19f56a297551f52bb92088c549e6adb18ce73e267fb7eaf"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2503.18036",
    "kind": "arxiv",
    "version": 1
  }
}