Pith Number

pith:MKHB7ANZ

pith:2008:MKHB7ANZ2LCWCJWNBPVDRVZVHJ

not attested not anchored not stored refs pending

Population growth and persistence in a heterogeneous environment: the role of diffusion and advection

A.B. Ryabov, B. Blasius

arxiv:0809.4599 v2 · 2008-09-26 · 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{MKHB7ANZ2LCWCJWNBPVDRVZVHJ}

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	2026-07-04T15:16:07.439983Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

628e1f81b9d2c56126cd0bea38d7353a71d6dd5926895d8782a8a07637aaa523

Aliases

arxiv: 0809.4599 · arxiv_version: 0809.4599v2 · doi: 10.48550/arxiv.0809.4599 · pith_short_12: MKHB7ANZ2LCW · pith_short_16: MKHB7ANZ2LCWCJWN · pith_short_8: MKHB7ANZ

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/MKHB7ANZ2LCWCJWNBPVDRVZVHJ \
  | 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: 628e1f81b9d2c56126cd0bea38d7353a71d6dd5926895d8782a8a07637aaa523

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fc5a70f33b33e91f88a2fafc279cf64a64a787b979855433dfdc3b7bd0f6a6be",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "q-bio.PE",
    "submitted_at": "2008-09-26T11:21:12Z",
    "title_canon_sha256": "93feee59c8e95d8eb71bafff5c1a97a32704eb6edfcce3d0e943a0cb4b1b4b24"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0809.4599",
    "kind": "arxiv",
    "version": 2
  }
}