Pith Number

pith:FHHMQXBU

pith:2009:FHHMQXBUK3P6W4ZZD7IQPEAPQW

not attested not anchored not stored refs pending

Homogenization and influence of fragmentation in a biological invasion model

Francois Hamel, Lionel Roques, Mohammad El Smaily

arxiv:0907.4951 v1 · 2009-07-28 · math.AP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{FHHMQXBUK3P6W4ZZD7IQPEAPQW}

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	2026-05-18T02:51:34.514749Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

29cec85c3456dfeb73391fd107900f8588046a6452a4ca3de48b78e96e1bdeea

Aliases

arxiv: 0907.4951 · arxiv_version: 0907.4951v1 · doi: 10.48550/arxiv.0907.4951 · pith_short_12: FHHMQXBUK3P6 · pith_short_16: FHHMQXBUK3P6W4ZZ · pith_short_8: FHHMQXBU

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/FHHMQXBUK3P6W4ZZD7IQPEAPQW \
  | 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: 29cec85c3456dfeb73391fd107900f8588046a6452a4ca3de48b78e96e1bdeea

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "75e1b731b40ff23adebe79acd93c3d095a9103ea56878fabd31149e058a2636b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2009-07-28T16:39:56Z",
    "title_canon_sha256": "2d3ee90eec28ee96682153a1d9ce426b7dedc81dccda65022017cd07d3cee5bb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0907.4951",
    "kind": "arxiv",
    "version": 1
  }
}