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Pith Number

pith:NZCBDBSO

pith:2026:NZCBDBSOEVEFBLDKICYUYQ6RDB
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Deconstructing Superintelligence: Identity, Self-Modification and Diff\'erance

Elija Perrier

Self-modification in superintelligence collapses its self-referential structure into the liar paradox.

arxiv:2604.19845 v4 · 2026-04-21 · cs.AI

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\usepackage{pith}
\pithnumber{NZCBDBSOEVEFBLDKICYUYQ6RDB}

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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.

Claims

C1strongest claim

class A self-modification realises the same collapse at system scale, yielding a structure coinciding with Priest's inclosure schema and Derrida's diff'erance.

C2weakest assumption

That the supplement required by self-modification can be identified with Comm(U-hat) and that the claimed expansion theorem holds without further restrictions on the algebra.

C3one line summary

Self-modification in superintelligence collapses via non-commuting operators into a structure identical to Priest's inclosure schema and Derrida's différance.

Receipt and verification
First computed 2026-06-09T01:05:17.589780Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

6e4411864e254850ac6a40b14c43d11846688914c8677d9fef1fe2947b755b32

Aliases

arxiv: 2604.19845 · arxiv_version: 2604.19845v4 · doi: 10.48550/arxiv.2604.19845 · pith_short_12: NZCBDBSOEVEF · pith_short_16: NZCBDBSOEVEFBLDK · pith_short_8: NZCBDBSO
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/NZCBDBSOEVEFBLDKICYUYQ6RDB \
  | 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: 6e4411864e254850ac6a40b14c43d11846688914c8677d9fef1fe2947b755b32
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "98ea3c924cbf5fd75c73c40464491505cb7da41cc09da77d02892115db1d189d",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "cs.AI",
    "submitted_at": "2026-04-21T11:39:50Z",
    "title_canon_sha256": "8a26d6e1b04779ab80d08b519b101e427dba92dfe693d9c0c9c0b282d0930705"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2604.19845",
    "kind": "arxiv",
    "version": 4
  }
}