Pith Number

pith:VQYAXQOK

pith:2021:VQYAXQOKY3LCCN7E3EF3T57B55

not attested not anchored not stored refs pending

On the meaning of the Critical Cost Efficiency Index

Federico Echenique

arxiv:2109.06354 v4 · 2021-09-13 · econ.TH

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{VQYAXQOKY3LCCN7E3EF3T57B55}

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

Revealed Rationality: Label-Free Evaluation and Regularization from Representation Theorems

Receipt and verification

First computed	2026-07-05T04:14:25.112102Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ac300bc1cac6d62137e4d90bb9f7e1ef530a0ac08d1010998fd1ecfc057f2123

Aliases

arxiv: 2109.06354 · arxiv_version: 2109.06354v4 · doi: 10.48550/arxiv.2109.06354 · pith_short_12: VQYAXQOKY3LC · pith_short_16: VQYAXQOKY3LCCN7E · pith_short_8: VQYAXQOK

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/VQYAXQOKY3LCCN7E3EF3T57B55 \
  | 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: ac300bc1cac6d62137e4d90bb9f7e1ef530a0ac08d1010998fd1ecfc057f2123

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "69b7faf843117aa7a607a5472201f1be5504381eff233ae57d64d11e3ef6c0aa",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "econ.TH",
    "submitted_at": "2021-09-13T22:57:51Z",
    "title_canon_sha256": "55e3c5594bde73be466e03354ce7dc2a2f8d7f2bd47114396316c8db54b139a7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2109.06354",
    "kind": "arxiv",
    "version": 4
  }
}