Pith Number

pith:5LNBHLHS

pith:2016:5LNBHLHSM2MXSQQGQ6V2XP3655

not attested not anchored not stored refs pending

A Many-Sorted Variant of Japaridze's Polymodal Provability Logic

Gerald Berger, Hans Tompits, Lev D. Beklemishev

arxiv:1601.02857 v3 · 2016-01-12 · 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{5LNBHLHSM2MXSQQGQ6V2XP3655}

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	2026-05-17T23:42:49.295038Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

eada13acf2669979420687ababbf7eef61b725283ac04b8e19228dad491295ab

Aliases

arxiv: 1601.02857 · arxiv_version: 1601.02857v3 · doi: 10.48550/arxiv.1601.02857 · pith_short_12: 5LNBHLHSM2MX · pith_short_16: 5LNBHLHSM2MXSQQG · pith_short_8: 5LNBHLHS

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/5LNBHLHSM2MXSQQGQ6V2XP3655 \
  | 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: eada13acf2669979420687ababbf7eef61b725283ac04b8e19228dad491295ab

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f8a9998ef823a3521b9f7106c6a49fbff998207b30bc935acdb3de9a4bd655c8",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.LO",
    "submitted_at": "2016-01-12T13:44:27Z",
    "title_canon_sha256": "1af8b051cac064960bab57f401d22b79a2dadc6e31ec9f21366a8a976d1d5d63"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1601.02857",
    "kind": "arxiv",
    "version": 3
  }
}