Pith Number

pith:IPCOWNYC

pith:2010:IPCOWNYCKUGS5RE4WJIBYRND4C

not attested not anchored not stored refs pending

Characterization and definability in modal first-order fragments

Facundo Carreiro

arxiv:1011.4718 v1 · 2010-11-22 · cs.LO · 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{IPCOWNYCKUGS5RE4WJIBYRND4C}

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	2026-05-18T04:35:04.111412Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

43c4eb3702550d2ec49cb2501c45a3e0981f5ee1ebf0a389a3b3c2dbc3b8fec9

Aliases

arxiv: 1011.4718 · arxiv_version: 1011.4718v1 · doi: 10.48550/arxiv.1011.4718 · pith_short_12: IPCOWNYCKUGS · pith_short_16: IPCOWNYCKUGS5RE4 · pith_short_8: IPCOWNYC

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/IPCOWNYCKUGS5RE4WJIBYRND4C \
  | 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: 43c4eb3702550d2ec49cb2501c45a3e0981f5ee1ebf0a389a3b3c2dbc3b8fec9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ac53ecb694b7ecb6ffd8f260c3d1a6a7988628357cdcb294339d78c61ce9b2f3",
    "cross_cats_sorted": [
      "math.LO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.LO",
    "submitted_at": "2010-11-22T02:35:43Z",
    "title_canon_sha256": "8bed939854933d9ef2547c599d9d1dcad841c17e0e0bee3dd7bc42dc2e45baaa"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1011.4718",
    "kind": "arxiv",
    "version": 1
  }
}