Pith Number

pith:CUKKR6BZ

pith:2017:CUKKR6BZ22FFATEFEHM5O5VKRP

not attested not anchored not stored refs pending

Poisson-Nernst-Planck equations with steric effects - non-convexity and multiple stationary solutions

Nir Gavish

arxiv:1703.07164 v2 · 2017-03-21 · math.AP · math-ph · math.MP · physics.bio-ph

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{CUKKR6BZ22FFATEFEHM5O5VKRP}

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	2026-05-18T00:25:07.808712Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1514a8f839d68a504c8521d9d776aa8bc177f1f597b4d82d79a6a007519783fb

Aliases

arxiv: 1703.07164 · arxiv_version: 1703.07164v2 · doi: 10.48550/arxiv.1703.07164 · pith_short_12: CUKKR6BZ22FF · pith_short_16: CUKKR6BZ22FFATEF · pith_short_8: CUKKR6BZ

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/CUKKR6BZ22FFATEFEHM5O5VKRP \
  | 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: 1514a8f839d68a504c8521d9d776aa8bc177f1f597b4d82d79a6a007519783fb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1b95977326e0caf87d60a17469ac884c7c6e047413ffd8657398e11e5798ab11",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP",
      "physics.bio-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2017-03-21T12:11:42Z",
    "title_canon_sha256": "68fca6c13ef930459a12bbca6c13bb7b1c2224f879612066d4a4dd954be568b7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1703.07164",
    "kind": "arxiv",
    "version": 2
  }
}