Pith Number

pith:22YWZJG4

pith:2025:22YWZJG4EB4KWJPY2VZ3UKMSH6

not attested not anchored not stored refs pending

Demand for LLMs: Descriptive Evidence on Substitution, Market Expansion, and Multihoming

Andrey Fradkin

arxiv:2504.15440 v1 · 2025-04-21 · cs.CY · cs.AI · econ.GN · q-fin.EC

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{22YWZJG4EB4KWJPY2VZ3UKMSH6}

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.

Cited by

1 paper in Pith

Freemium Is All You Need

Receipt and verification

First computed	2026-07-05T10:52:24.654743Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d6b16ca4dc2078ab25f8d573ba29923f9b54fe6e770cf617c0797a8f4194d49e

Aliases

arxiv: 2504.15440 · arxiv_version: 2504.15440v1 · doi: 10.48550/arxiv.2504.15440 · pith_short_12: 22YWZJG4EB4K · pith_short_16: 22YWZJG4EB4KWJPY · pith_short_8: 22YWZJG4

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/22YWZJG4EB4KWJPY2VZ3UKMSH6 \
  | 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: d6b16ca4dc2078ab25f8d573ba29923f9b54fe6e770cf617c0797a8f4194d49e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1f1c9b14974cacc0fb3da48d65fcb7e0c7917a54ad440a9188a58d32e01f6e70",
    "cross_cats_sorted": [
      "cs.AI",
      "econ.GN",
      "q-fin.EC"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "cs.CY",
    "submitted_at": "2025-04-21T21:12:28Z",
    "title_canon_sha256": "d53acf35f6a02612e645bbd2789ab4c69d9b0a1cea9deeb0998efd49d437754b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2504.15440",
    "kind": "arxiv",
    "version": 1
  }
}