pith. sign in
Pith Number

pith:XTL34W62

pith:2016:XTL34W62B7POZ6J5YDTFL7UNTA
not attested not anchored not stored refs pending

Optimal counter-current exchange networks

Robert S Farr, Yong Mao

arxiv:1607.01754 v2 · 2016-02-01 · physics.flu-dyn · cond-mat.soft · physics.bio-ph

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{XTL34W62B7POZ6J5YDTFL7UNTA}

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 2026-05-18T00:57:11.914071Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

bcd7be5bda0fdeecf93dc0e655fe8d980a35c06df323e1b7a96e5f880ede3dab

Aliases

arxiv: 1607.01754 · arxiv_version: 1607.01754v2 · doi: 10.48550/arxiv.1607.01754 · pith_short_12: XTL34W62B7PO · pith_short_16: XTL34W62B7POZ6J5 · pith_short_8: XTL34W62
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/XTL34W62B7POZ6J5YDTFL7UNTA \
  | 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: bcd7be5bda0fdeecf93dc0e655fe8d980a35c06df323e1b7a96e5f880ede3dab
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "f59abd72a0745d3aac5504c62ae59e30300277f0d376e459f5e8ee7b97b150a6",
    "cross_cats_sorted": [
      "cond-mat.soft",
      "physics.bio-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "physics.flu-dyn",
    "submitted_at": "2016-02-01T08:29:16Z",
    "title_canon_sha256": "01cff392f05c510137392a2aa9774a121620c8267803ff640e07c5a8643f324d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1607.01754",
    "kind": "arxiv",
    "version": 2
  }
}