Pith Number

pith:VY3DPEAW

pith:2026:VY3DPEAWJO6MXLUAPJANGG2H4M

not attested not anchored not stored refs pending

Prices and Competition in Vertically Integrated Launch Markets

Akhil Rao

arxiv:2607.10385 v1 · 2026-07-11 · 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{VY3DPEAWJO6MXLUAPJANGG2H4M}

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	2026-07-14T01:21:13.395276Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ae363790164bbccbae807a40d31b47e3151535d6844f7f1a6a8dc05512927542

Aliases

arxiv: 2607.10385 · arxiv_version: 2607.10385v1 · doi: 10.48550/arxiv.2607.10385 · pith_short_12: VY3DPEAWJO6M · pith_short_16: VY3DPEAWJO6MXLUA · pith_short_8: VY3DPEAW

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/VY3DPEAWJO6MXLUAPJANGG2H4M \
  | 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: ae363790164bbccbae807a40d31b47e3151535d6844f7f1a6a8dc05512927542

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "33ac69f94e7620f319f4d1528c39f01f32db4cc7d99e834fe24e0a15dcd1d02f",
    "cross_cats_sorted": [
      "q-fin.EC"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "econ.GN",
    "submitted_at": "2026-07-11T16:28:19Z",
    "title_canon_sha256": "863b6f1b94ae1c03d467b8cec51ee9417654dfc37f2adef92356849ce2067ae8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.10385",
    "kind": "arxiv",
    "version": 1
  }
}