Pith Number

pith:JXBDGKTP

pith:2026:JXBDGKTPH7N6RUW3ACHK4DRTTP

not attested not anchored not stored refs pending

Keep, Customize, or Exit: Default Design and Token Pricing in LLM Reasoning Services

Ahmet Bugra Gundogan, Melih Bastopcu, Yigit Turkmen

arxiv:2608.13315 v1 · 2026-08-13 · cs.GT · cs.AI · cs.LG · cs.SY · eess.SY

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{JXBDGKTPH7N6RUW3ACHK4DRTTP}

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	2026-08-14T01:04:11.576153Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4dc2332a6f3fdbe8d2db008eae0e339bd3683760d527d65529eedc16f6523a46

Aliases

arxiv: 2608.13315 · arxiv_version: 2608.13315v1 · doi: 10.48550/arxiv.2608.13315 · pith_short_12: JXBDGKTPH7N6 · pith_short_16: JXBDGKTPH7N6RUW3 · pith_short_8: JXBDGKTP

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/JXBDGKTPH7N6RUW3ACHK4DRTTP \
  | 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: 4dc2332a6f3fdbe8d2db008eae0e339bd3683760d527d65529eedc16f6523a46

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8aa04f36ea8d4e32dd827559ad34adda30a5373c1ce1ceeadce7edbe6aec3d33",
    "cross_cats_sorted": [
      "cs.AI",
      "cs.LG",
      "cs.SY",
      "eess.SY"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.GT",
    "submitted_at": "2026-08-13T14:39:48Z",
    "title_canon_sha256": "b01323b7db075b35e259efb5c82525e01c3077da6347fee38ab8f65c635b0bc8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2608.13315",
    "kind": "arxiv",
    "version": 1
  }
}