pith. sign in
Pith Number

pith:KFXCXJJQ

pith:2018:KFXCXJJQ5GMZPOBHWPU55ESSNL
not attested not anchored not stored refs pending

On the role of multiple scales in metapopulations of public good producers

Erwin Frey, Marianne Bauer

arxiv:1802.02402 v1 · 2018-02-07 · physics.bio-ph · physics.soc-ph · q-bio.PE

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{KFXCXJJQ5GMZPOBHWPU55ESSNL}

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 2026-05-18T00:18:11.194706Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

516e2ba530e99997b827b3e9de92526ae8be704580053f1c4a0ffcf332af68f6

Aliases

arxiv: 1802.02402 · arxiv_version: 1802.02402v1 · doi: 10.48550/arxiv.1802.02402 · pith_short_12: KFXCXJJQ5GMZ · pith_short_16: KFXCXJJQ5GMZPOBH · pith_short_8: KFXCXJJQ
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/KFXCXJJQ5GMZPOBHWPU55ESSNL \
  | 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: 516e2ba530e99997b827b3e9de92526ae8be704580053f1c4a0ffcf332af68f6
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "0e06eecdca9d04080bb49b90b279ee49beea33ffa1d14fecc6a2ea9bb6d52e66",
    "cross_cats_sorted": [
      "physics.soc-ph",
      "q-bio.PE"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "physics.bio-ph",
    "submitted_at": "2018-02-07T12:40:54Z",
    "title_canon_sha256": "455fa2025c27ccf3a23e5e10ac32e85fa4957e41b57d61a57849c83ca89d50b0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1802.02402",
    "kind": "arxiv",
    "version": 1
  }
}