Pith Number

pith:XBFXD4OK

pith:2013:XBFXD4OKN373BRRAMAOLY4D5CM

not attested not anchored not stored refs pending

On Guarded Transformation In The Modal Mu-Calculus

Florian Bruse, Martin Lange, Oliver Friedmann

arxiv:1305.0648 v2 · 2013-05-03 · cs.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{XBFXD4OKN373BRRAMAOLY4D5CM}

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	2026-05-18T03:04:08.403109Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b84b71f1ca6effb0c620601cbc707d131e2aae56bd0d63018dc3903fb1b0a68e

Aliases

arxiv: 1305.0648 · arxiv_version: 1305.0648v2 · doi: 10.48550/arxiv.1305.0648 · pith_short_12: XBFXD4OKN373 · pith_short_16: XBFXD4OKN373BRRA · pith_short_8: XBFXD4OK

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/XBFXD4OKN373BRRAMAOLY4D5CM \
  | 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: b84b71f1ca6effb0c620601cbc707d131e2aae56bd0d63018dc3903fb1b0a68e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4dcab21f16b4467ece18f7422c89ef555c312d13a339ab73b162421624b179a8",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.LO",
    "submitted_at": "2013-05-03T09:24:54Z",
    "title_canon_sha256": "d9bf7d2f7cff40c696e73ac9c50c2f4b26d11c51435bebe8c9fe9b82bc1e5759"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1305.0648",
    "kind": "arxiv",
    "version": 2
  }
}