Pith Number

pith:L5AGMDSW

pith:2018:L5AGMDSWNYRSKVPTBAVGMSFB5H

not attested not anchored not stored refs pending

Equilibrium Equations for Human Populations with Immigration

F. Thomas Bruss

arxiv:1805.01395 v2 · 2018-05-03 · math.PR · q-bio.PE

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{L5AGMDSWNYRSKVPTBAVGMSFB5H}

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	2026-05-18T00:12:37.966411Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5f40660e566e232555f3082a6648a1e9e7445f9444d26c8a745a32997e9f61aa

Aliases

arxiv: 1805.01395 · arxiv_version: 1805.01395v2 · doi: 10.48550/arxiv.1805.01395 · pith_short_12: L5AGMDSWNYRS · pith_short_16: L5AGMDSWNYRSKVPT · pith_short_8: L5AGMDSW

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/L5AGMDSWNYRSKVPTBAVGMSFB5H \
  | 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: 5f40660e566e232555f3082a6648a1e9e7445f9444d26c8a745a32997e9f61aa

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "334e36ce66d0ab7cac8168e788bd17d853ae859870ffa0392d1315e831c416ee",
    "cross_cats_sorted": [
      "q-bio.PE"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2018-05-03T16:05:34Z",
    "title_canon_sha256": "55f3d81d05035091613d8fffde0e16f7eef2ad0b8b2128a03754230a08ea686a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1805.01395",
    "kind": "arxiv",
    "version": 2
  }
}