Pith Number

pith:CTNXVNR5

pith:2015:CTNXVNR55V2SAHJO33PKRUFG64

not attested not anchored not stored refs pending

Duality and stationary distributions of the "Immediate Exchange Model" and its generalizations

Bart Van Ginkel, Federico Sau, Frank Redig

arxiv:1508.04918 v2 · 2015-08-20 · math.PR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{CTNXVNR55V2SAHJO33PKRUFG64}

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	2026-05-18T01:18:43.625535Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

14db7ab63ded75201d2ededea8d0a6f739ea9f92b14a18851196708c8c5d6b0b

Aliases

arxiv: 1508.04918 · arxiv_version: 1508.04918v2 · doi: 10.48550/arxiv.1508.04918 · pith_short_12: CTNXVNR55V2S · pith_short_16: CTNXVNR55V2SAHJO · pith_short_8: CTNXVNR5

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/CTNXVNR55V2SAHJO33PKRUFG64 \
  | 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: 14db7ab63ded75201d2ededea8d0a6f739ea9f92b14a18851196708c8c5d6b0b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4fb24aa8e40c893833889b078ce3e8207292f068e911c69bef6aa2e7c213c24e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2015-08-20T08:28:55Z",
    "title_canon_sha256": "b59db81c6aac22f446ceadede859f0563e756d80ff94e79732086958f81615f8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1508.04918",
    "kind": "arxiv",
    "version": 2
  }
}