Pith Number

pith:X6P4S7SL

pith:2014:X6P4S7SLKBTWMYFRYXWYMDRYJR

not attested not anchored not stored refs pending

An $H$ theorem for Boltzmann's equation for the Yard-Sale Model of asset exchange

Bruce M. Boghosian, Jeremy Marcq, Merek Johnson

arxiv:1412.7227 v1 · 2014-12-23 · q-fin.GN · physics.soc-ph

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{X6P4S7SLKBTWMYFRYXWYMDRYJR}

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	2026-05-18T01:22:41.510388Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bf9fc97e4b50676660b1c5ed860e384c4dcdfa256c1fcc7896576025b26c2fec

Aliases

arxiv: 1412.7227 · arxiv_version: 1412.7227v1 · doi: 10.48550/arxiv.1412.7227 · pith_short_12: X6P4S7SLKBTW · pith_short_16: X6P4S7SLKBTWMYFR · pith_short_8: X6P4S7SL

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/X6P4S7SLKBTWMYFRYXWYMDRYJR \
  | 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: bf9fc97e4b50676660b1c5ed860e384c4dcdfa256c1fcc7896576025b26c2fec

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d00bfb0ed4adcda025d38dca2e79a443ff2da33cb280389d42ea24f1da942ff2",
    "cross_cats_sorted": [
      "physics.soc-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "q-fin.GN",
    "submitted_at": "2014-12-23T01:02:26Z",
    "title_canon_sha256": "19817b60536bc8fda964976932398a8bf7ce5765e9b2df43eb0e70b856582693"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1412.7227",
    "kind": "arxiv",
    "version": 1
  }
}