Pith Number

pith:52WQ74UE

pith:2018:52WQ74UEHGRUFY4T5OOCT5OYWW

not attested not anchored not stored refs pending

Evolution of infinite populations of immigrants: micro- and mesoscopic description

Yuri Kozitsky

arxiv:1808.03789 v1 · 2018-08-11 · math.DS · math-ph · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{52WQ74UEHGRUFY4T5OOCT5OYWW}

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	2026-05-18T00:08:19.705005Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

eead0ff28439a342e393eb9c29f5d8b59dd95e4a6f7235ea35bf2b1c03c37c62

Aliases

arxiv: 1808.03789 · arxiv_version: 1808.03789v1 · doi: 10.48550/arxiv.1808.03789 · pith_short_12: 52WQ74UEHGRU · pith_short_16: 52WQ74UEHGRUFY4T · pith_short_8: 52WQ74UE

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/52WQ74UEHGRUFY4T5OOCT5OYWW \
  | 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: eead0ff28439a342e393eb9c29f5d8b59dd95e4a6f7235ea35bf2b1c03c37c62

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "153bfb767953a0e621756ad2e4b94aeedd99bd4b4013d4f143c679c93b1e0929",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2018-08-11T10:44:13Z",
    "title_canon_sha256": "c0a44d40af5323f0085028cdfd3cc4a0ab3e545e79e4cc64ee588a40cbc07af8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1808.03789",
    "kind": "arxiv",
    "version": 1
  }
}