Pith Number

pith:APTMVK43

pith:2016:APTMVK432BSPEOWEJH46HUVZ2M

not attested not anchored not stored refs pending

The role of consumer networks in firms' multi-characteristics competition and market-share inequality

Antonios Garas, Athanasios Lapatinas

arxiv:1601.05660 v2 · 2016-01-21 · physics.soc-ph · 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{APTMVK432BSPEOWEJH46HUVZ2M}

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	2026-05-18T00:38:46.679628Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

03e6caab9bd064f23ac449f9e3d2b9d3366a92cbca075ec91fe1e564fad88dd9

Aliases

arxiv: 1601.05660 · arxiv_version: 1601.05660v2 · doi: 10.48550/arxiv.1601.05660 · pith_short_12: APTMVK432BSP · pith_short_16: APTMVK432BSPEOWE · pith_short_8: APTMVK43

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/APTMVK432BSPEOWEJH46HUVZ2M \
  | 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: 03e6caab9bd064f23ac449f9e3d2b9d3366a92cbca075ec91fe1e564fad88dd9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ffa715f754fc4ecd9f56a8c45f94e23518937e6d8c03a9d31a1d9c24db1787be",
    "cross_cats_sorted": [
      "q-fin.EC"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "physics.soc-ph",
    "submitted_at": "2016-01-21T14:43:11Z",
    "title_canon_sha256": "e2b9f179a896c254575c9fe2525c2387eeb635c72150f2dfd5ba4529e9590c1a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1601.05660",
    "kind": "arxiv",
    "version": 2
  }
}