Pith Number

pith:5XOPQZG5

pith:2010:5XOPQZG5KU75ECHV7CJE46AMBF

not attested not anchored not stored refs pending

Competitive market for multiple firms and economic crisis

Yong Tao

arxiv:1010.1413 v1 · 2010-10-07 · physics.soc-ph · q-fin.GN

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{5XOPQZG5KU75ECHV7CJE46AMBF}

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	2026-05-18T04:39:41.165713Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

eddcf864dd553fd208f5f8924e780c0979eed7ef17ee0d2db93ed373811c60ea

Aliases

arxiv: 1010.1413 · arxiv_version: 1010.1413v1 · doi: 10.48550/arxiv.1010.1413 · pith_short_12: 5XOPQZG5KU75 · pith_short_16: 5XOPQZG5KU75ECHV · pith_short_8: 5XOPQZG5

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/5XOPQZG5KU75ECHV7CJE46AMBF \
  | 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: eddcf864dd553fd208f5f8924e780c0979eed7ef17ee0d2db93ed373811c60ea

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "67b6807ca67c3f1c8b6219a8c651fa7e8434acfb1525d12b7ffe03c23b4df671",
    "cross_cats_sorted": [
      "q-fin.GN"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "physics.soc-ph",
    "submitted_at": "2010-10-07T12:27:57Z",
    "title_canon_sha256": "967f37b9290df0be82408aa5286828133c562b57c8aa62982cf39bb2e1d05c15"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1010.1413",
    "kind": "arxiv",
    "version": 1
  }
}