Pith Number

pith:Y45V363A

pith:2016:Y45V363AZ6UAMDPBV2N5LI5IWR

not attested not anchored not stored refs pending

Optimal Population in a Finite Horizon

Kazuhiko Nishimura, Satoshi Nakano

arxiv:1608.01535 v3 · 2016-08-04 · q-fin.EC

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

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	2026-05-18T00:26:37.734390Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c73b5dfb60cfa8060de1ae9bd5a3a8b4437b637a6dac0bec73821a079715dd14

Aliases

arxiv: 1608.01535 · arxiv_version: 1608.01535v3 · doi: 10.48550/arxiv.1608.01535 · pith_short_12: Y45V363AZ6UA · pith_short_16: Y45V363AZ6UAMDPB · pith_short_8: Y45V363A

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/Y45V363AZ6UAMDPBV2N5LI5IWR \
  | 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: c73b5dfb60cfa8060de1ae9bd5a3a8b4437b637a6dac0bec73821a079715dd14

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "83362a0bdaa63c1b637f7d78b9886ab694bef1c6577a2970247d1434b01be36b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "q-fin.EC",
    "submitted_at": "2016-08-04T13:53:51Z",
    "title_canon_sha256": "89edecbc103bac17ac2910cf1496b11b282079465f17824f0fc878c47b1d4c60"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1608.01535",
    "kind": "arxiv",
    "version": 3
  }
}