pith. sign in
Pith Number

pith:R5NQB44M

pith:2016:R5NQB44MS3YLQSEUVDPE6PFBBP
not attested not anchored not stored refs pending

Global Optimization, Local Adaptation, and the Role of Growth in Distribution Networks

Eleni Katifori, Henrik Ronellenfitsch

arxiv:1606.00331 v4 · 2016-06-01 · physics.bio-ph · nlin.AO · q-bio.TO

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{R5NQB44MS3YLQSEUVDPE6PFBBP}

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 2026-05-18T01:04:05.478356Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

8f5b00f38c96f0b84894a8de4f3ca10bc5c8ca6eca3e5d96886040e6232ec400

Aliases

arxiv: 1606.00331 · arxiv_version: 1606.00331v4 · doi: 10.48550/arxiv.1606.00331 · pith_short_12: R5NQB44MS3YL · pith_short_16: R5NQB44MS3YLQSEU · pith_short_8: R5NQB44M
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/R5NQB44MS3YLQSEUVDPE6PFBBP \
  | 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: 8f5b00f38c96f0b84894a8de4f3ca10bc5c8ca6eca3e5d96886040e6232ec400
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "6b991f44cc0c2baaff98e95f3bad11f94ca7f3032862f6df7ff086a25eb3aa97",
    "cross_cats_sorted": [
      "nlin.AO",
      "q-bio.TO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "physics.bio-ph",
    "submitted_at": "2016-06-01T15:47:47Z",
    "title_canon_sha256": "30634ab80ca9f40a3a60445a06f016926135a3d1f6f675b8c4f49f12ab1a2e1a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1606.00331",
    "kind": "arxiv",
    "version": 4
  }
}