Pith Number

pith:MOK4Y4ZD

pith:2017:MOK4Y4ZDQFITHXZPMLI3B5VNI5

not attested not anchored not stored refs pending

Succinctness in subsystems of the spatial mu-calculus

David Fern\'andez-Duque, Petar Iliev

arxiv:1708.03770 v1 · 2017-08-12 · math.LO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{MOK4Y4ZDQFITHXZPMLI3B5VNI5}

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	2026-05-18T00:38:07.971108Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6395cc7323815133df2f62d1b0f6ad475a9fd1c277ac13e7d248f494bfaf31b1

Aliases

arxiv: 1708.03770 · arxiv_version: 1708.03770v1 · doi: 10.48550/arxiv.1708.03770 · pith_short_12: MOK4Y4ZDQFIT · pith_short_16: MOK4Y4ZDQFITHXZP · pith_short_8: MOK4Y4ZD

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/MOK4Y4ZDQFITHXZPMLI3B5VNI5 \
  | 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: 6395cc7323815133df2f62d1b0f6ad475a9fd1c277ac13e7d248f494bfaf31b1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c82968fa09eca9e794f4ff5d9cfbefb21f46984d88357a0f65d3a45adabc5f24",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.LO",
    "submitted_at": "2017-08-12T11:43:39Z",
    "title_canon_sha256": "88c631063567e0a12295256a8685c19538938a4f07e78077c7ae1ca7f905900b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1708.03770",
    "kind": "arxiv",
    "version": 1
  }
}