Pith Number

pith:5PLPH5L2

pith:2009:5PLPH5L2MC2UDUA6CGS4R5NACA

not attested not anchored not stored refs pending

Poisson-Nernst-Planck Systems for Narrow Tubular-like Membrane Channels

Bixiang Wang, Weishi Liu

arxiv:0902.4290 v1 · 2009-02-25 · math.AP · math.DS

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{5PLPH5L2MC2UDUA6CGS4R5NACA}

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	2026-05-18T02:14:39.205725Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ebd6f3f57a60b541d01e11a5c8f5a01030b2c6dc1121113dd6eceb6582bf6f4d

Aliases

arxiv: 0902.4290 · arxiv_version: 0902.4290v1 · doi: 10.48550/arxiv.0902.4290 · pith_short_12: 5PLPH5L2MC2U · pith_short_16: 5PLPH5L2MC2UDUA6 · pith_short_8: 5PLPH5L2

Agent API

Resolver JSON Graph JSON Events JSON Schema Signing key

Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/5PLPH5L2MC2UDUA6CGS4R5NACA \
  | 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: ebd6f3f57a60b541d01e11a5c8f5a01030b2c6dc1121113dd6eceb6582bf6f4d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1052ce16b8df8fe5bb01a1b427a3d371ab615be851cce28d2fe727e6eb07d2e1",
    "cross_cats_sorted": [
      "math.DS"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2009-02-25T06:19:25Z",
    "title_canon_sha256": "b7d4bf979d4fbe23b184f44b8607f4d35bbeed2117213ebe8cfd5f9ffd51b0f8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0902.4290",
    "kind": "arxiv",
    "version": 1
  }
}