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Pith Number

pith:D6KSYEPC

pith:2014:D6KSYEPCAFPFRXBCY6WON5EQAP
not attested not anchored not stored refs pending

Public good diffusion limits microbial mutualism

Kirill S. Korolev, Rajita Menon

arxiv:1412.7187 v4 · 2014-12-22 · q-bio.PE · cond-mat.stat-mech · physics.bio-ph

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{D6KSYEPCAFPFRXBCY6WON5EQAP}

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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 2026-05-18T02:03:48.121896Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

1f952c11e2015e58dc22c7ace6f49003e258f6a6009b3d48230766f800caee54

Aliases

arxiv: 1412.7187 · arxiv_version: 1412.7187v4 · doi: 10.48550/arxiv.1412.7187 · pith_short_12: D6KSYEPCAFPF · pith_short_16: D6KSYEPCAFPFRXBC · pith_short_8: D6KSYEPC
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/D6KSYEPCAFPFRXBCY6WON5EQAP \
  | 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: 1f952c11e2015e58dc22c7ace6f49003e258f6a6009b3d48230766f800caee54
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "cb76168db3a962083194fce77255c846d771327d594df5dcc0ccf9b541c47419",
    "cross_cats_sorted": [
      "cond-mat.stat-mech",
      "physics.bio-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "q-bio.PE",
    "submitted_at": "2014-12-22T22:22:33Z",
    "title_canon_sha256": "27650967dad88ea42345fca0aa7ec8e77c60a015fbdab444dc180f61bd3291ca"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1412.7187",
    "kind": "arxiv",
    "version": 4
  }
}