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Pith Number

pith:4ZG5UMOW

pith:2017:4ZG5UMOWZIXM7B56HKNBAKGNWZ
not attested not anchored not stored refs pending

An effect of large permanent charge: Decreasing flux to zero with increasing transmembrane potential to infinity

Bob Eisenberg, Liwei Zhang, Weishi Liu

arxiv:1712.06666 v1 · 2017-12-12 · q-bio.QM

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{4ZG5UMOWZIXM7B56HKNBAKGNWZ}

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 2026-05-18T00:27:40.847751Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

e64dda31d6ca2ecf87be3a9a1028cdb65f53db01b8bedef59271890f5db1adfe

Aliases

arxiv: 1712.06666 · arxiv_version: 1712.06666v1 · doi: 10.48550/arxiv.1712.06666 · pith_short_12: 4ZG5UMOWZIXM · pith_short_16: 4ZG5UMOWZIXM7B56 · pith_short_8: 4ZG5UMOW
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/4ZG5UMOWZIXM7B56HKNBAKGNWZ \
  | 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: e64dda31d6ca2ecf87be3a9a1028cdb65f53db01b8bedef59271890f5db1adfe
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "85e732227df2b5fab8cf47c069666af1ba6f6f0a2188e1e8b2adeacef9e3cee7",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "q-bio.QM",
    "submitted_at": "2017-12-12T16:45:45Z",
    "title_canon_sha256": "c15e3d3726ade75a13ecc2c8ddd2e9fa70dec63131cd9abe6a77d0770b7eb3f7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1712.06666",
    "kind": "arxiv",
    "version": 1
  }
}