pith. sign in
Pith Number

pith:7TY4ODZP

pith:2011:7TY4ODZPLJKY7GZGBLACEYRO5W
not attested not anchored not stored refs pending

Graphical representation of covariant-contravariant modal formulae

Anna Ing\'olfsd\'ottir, David de Frutos-Escrig, Ignacio F\'abregas, Luca Aceto, Miguel Palomino

arxiv:1108.4464 v1 · 2011-08-23 · cs.LO

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{7TY4ODZPLJKY7GZGBLACEYRO5W}

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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 2026-05-18T04:14:54.566760Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

fcf1c70f2f5a558f9b260ac022622eed9f58232a8adc3d57c56a17bb2e91aee2

Aliases

arxiv: 1108.4464 · arxiv_version: 1108.4464v1 · doi: 10.48550/arxiv.1108.4464 · pith_short_12: 7TY4ODZPLJKY · pith_short_16: 7TY4ODZPLJKY7GZG · pith_short_8: 7TY4ODZP
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/7TY4ODZPLJKY7GZGBLACEYRO5W \
  | 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: fcf1c70f2f5a558f9b260ac022622eed9f58232a8adc3d57c56a17bb2e91aee2
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "37bd6e2d7b63d2e6585af04886bdba4b0d706f2b036c95efb374ced959e293cd",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.LO",
    "submitted_at": "2011-08-23T01:23:02Z",
    "title_canon_sha256": "fd89f73610c2e4e98f5b8354473e24158eccbac3b1a409c58943882fdc82bcd0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1108.4464",
    "kind": "arxiv",
    "version": 1
  }
}