Pith Number

pith:NMGNNUMB

pith:2012:NMGNNUMBPZIKOFM5QTYCPYHFHD

not attested not anchored not stored refs pending

On provability logics with linearly ordered modalities

David Fern\'andez-Duque, Joost J. Joosten, Lev D. Beklemishev

arxiv:1210.4809 v1 · 2012-10-17 · 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{NMGNNUMBPZIKOFM5QTYCPYHFHD}

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	2026-05-18T03:42:56.176472Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6b0cd6d1817e50a7159d84f027e0e538edfdc99ebca47ffc69a0ec7131fef105

Aliases

arxiv: 1210.4809 · arxiv_version: 1210.4809v1 · doi: 10.48550/arxiv.1210.4809 · pith_short_12: NMGNNUMBPZIK · pith_short_16: NMGNNUMBPZIKOFM5 · pith_short_8: NMGNNUMB

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/NMGNNUMBPZIKOFM5QTYCPYHFHD \
  | 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: 6b0cd6d1817e50a7159d84f027e0e538edfdc99ebca47ffc69a0ec7131fef105

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "03fbac2a012dd4dc2533ee73787576132e16d7a9f653ab3f0f776828b4a4d334",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.LO",
    "submitted_at": "2012-10-17T18:14:23Z",
    "title_canon_sha256": "afc16d45c62f1b78fa93e40a6ec74fb7334f7862deac5f7484267c837ad4e69a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1210.4809",
    "kind": "arxiv",
    "version": 1
  }
}