Pith Number

pith:MXARCSRP

pith:2026:MXARCSRPF5VVVPKVZIT4FQO622

not attested not anchored not stored refs pending

Finite Certificates for In-Context Determinacy and a Threshold Theory of Emergence in Language Models

Faruk Alpay, Hamdi Alakkad

arxiv:2606.07623 v1 · 2026-05-30 · cs.LG · cs.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{MXARCSRPF5VVVPKVZIT4FQO622}

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	2026-06-09T00:04:45.084908Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

65c1114a2f2f6b5abd55ca27c2c1ded6b7538bee0b6b0840ea9454193b815d28

Aliases

arxiv: 2606.07623 · arxiv_version: 2606.07623v1 · doi: 10.48550/arxiv.2606.07623 · pith_short_12: MXARCSRPF5VV · pith_short_16: MXARCSRPF5VVVPKV · pith_short_8: MXARCSRP

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/MXARCSRPF5VVVPKVZIT4FQO622 \
  | 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: 65c1114a2f2f6b5abd55ca27c2c1ded6b7538bee0b6b0840ea9454193b815d28

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0846026fe9033415d4f34a4e3676c77797272e625755e382e3d9ffdd1b2fefe4",
    "cross_cats_sorted": [
      "cs.LO"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "cs.LG",
    "submitted_at": "2026-05-30T14:07:58Z",
    "title_canon_sha256": "fc5bc9d5a8bf18d13325a0b8972fedc2e2460d3fbaccf7659dc9ddab92b68df6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.07623",
    "kind": "arxiv",
    "version": 1
  }
}