Pith Number

pith:QIMJ6PWZ

pith:2021:QIMJ6PWZ5YIGAJHH4QBD3FRLK4

not attested not anchored not stored refs pending

Differentiation in a Two-Dimensional Market with Endogenous Sequential Entry

Benjamin M. Gramig, Jeffrey D. Michler

arxiv:2103.11051 v1 · 2021-03-19 · econ.GN · econ.TH · 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{QIMJ6PWZ5YIGAJHH4QBD3FRLK4}

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

From Technical Feasibility to Substitutability: A Geometric Theory of Differentiation

Receipt and verification

First computed	2026-07-05T02:24:56.402167Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

82189f3ed9ee106024e7e4023d962b57150aac49188781ec4dde051702b5165f

Aliases

arxiv: 2103.11051 · arxiv_version: 2103.11051v1 · doi: 10.48550/arxiv.2103.11051 · pith_short_12: QIMJ6PWZ5YIG · pith_short_16: QIMJ6PWZ5YIGAJHH · pith_short_8: QIMJ6PWZ

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/QIMJ6PWZ5YIGAJHH4QBD3FRLK4 \
  | 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: 82189f3ed9ee106024e7e4023d962b57150aac49188781ec4dde051702b5165f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1dfe141e4376743286599cbc016b90f80fed562e7341c1d341e038d10ef1c233",
    "cross_cats_sorted": [
      "econ.TH",
      "q-fin.EC"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "econ.GN",
    "submitted_at": "2021-03-19T22:27:00Z",
    "title_canon_sha256": "a32d3cc648ff4d580d9df9c42a7933428fdec36142e0e7171bfe05c6a7bec329"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2103.11051",
    "kind": "arxiv",
    "version": 1
  }
}