Pith Number

pith:LLJ4JIPC

pith:2026:LLJ4JIPCLUBZHMVHG76F6U63F4

not attested not anchored not stored refs pending

Measuring Opportunity Cost with Stock Lifetime Value

Dominik Prugger, Geoffrey Decrouez, Paresh Nakhe, Tobias Huelden

arxiv:2607.01905 v1 · 2026-07-02 · econ.EM

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{LLJ4JIPCLUBZHMVHG76F6U63F4}

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	2026-07-03T01:17:33.024965Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5ad3c4a1e25d0393b2a737fc5f53db2f2e055310bf96450136a3776ed8ae13a5

Aliases

arxiv: 2607.01905 · arxiv_version: 2607.01905v1 · doi: 10.48550/arxiv.2607.01905 · pith_short_12: LLJ4JIPCLUBZ · pith_short_16: LLJ4JIPCLUBZHMVH · pith_short_8: LLJ4JIPC

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/LLJ4JIPCLUBZHMVHG76F6U63F4 \
  | 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: 5ad3c4a1e25d0393b2a737fc5f53db2f2e055310bf96450136a3776ed8ae13a5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bff4e42dbbb6e379c5fe77de7bf7fa71eda051c6610db81c87fc889a44c7a9f6",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "econ.EM",
    "submitted_at": "2026-07-02T09:05:08Z",
    "title_canon_sha256": "f3ed60398b62ddc762a19c2d2f10b24592ea0d65a9c0f4bd92d923d0c429be19"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.01905",
    "kind": "arxiv",
    "version": 1
  }
}