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Pith Number

pith:ESYPXWN4

pith:2017:ESYPXWN44KHIU3JO3V6KYC4XJX
not attested not anchored not stored refs pending

Minimal transport networks with general boundary conditions

Marcus Roper, Shyr-Shea Chang

arxiv:1709.00694 v2 · 2017-09-03 · math.OC

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{ESYPXWN44KHIU3JO3V6KYC4XJX}

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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 2026-05-18T00:35:30.426435Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

24b0fbd9bce28e8a6d2edd7cac0b974de371382659a3a1fe89dced2fc53702a9

Aliases

arxiv: 1709.00694 · arxiv_version: 1709.00694v2 · doi: 10.48550/arxiv.1709.00694 · pith_short_12: ESYPXWN44KHI · pith_short_16: ESYPXWN44KHIU3JO · pith_short_8: ESYPXWN4
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/ESYPXWN44KHIU3JO3V6KYC4XJX \
  | 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: 24b0fbd9bce28e8a6d2edd7cac0b974de371382659a3a1fe89dced2fc53702a9
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "e96fb3c6789074408d9f98497d98c3ccadc1830d617a78835005a16b8cc219eb",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2017-09-03T10:23:47Z",
    "title_canon_sha256": "53bb66ae020cad9be1831b1872c361ba5ead83f6424a1de6bd2a19ec767419ba"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1709.00694",
    "kind": "arxiv",
    "version": 2
  }
}