Pith Number

pith:NQJKFDSY

pith:2015:NQJKFDSYRHR26TKPM44422ORFO

not attested not anchored not stored refs pending

Stationary solutions to the Poisson-Nernst-Planck equations with steric effects

Li-Chang Hung, Mach Nguyet Minh

arxiv:1509.02456 v7 · 2015-09-08 · math.AP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{NQJKFDSYRHR26TKPM44422ORFO}

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	2026-05-17T23:40:43.986302Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6c12a28e5889e3af4d4f6739cd69d12b8457ea265914928b0a1c7088e17f4295

Aliases

arxiv: 1509.02456 · arxiv_version: 1509.02456v7 · doi: 10.48550/arxiv.1509.02456 · pith_short_12: NQJKFDSYRHR2 · pith_short_16: NQJKFDSYRHR26TKP · pith_short_8: NQJKFDSY

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/NQJKFDSYRHR26TKPM44422ORFO \
  | 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: 6c12a28e5889e3af4d4f6739cd69d12b8457ea265914928b0a1c7088e17f4295

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3064c4bb4bad733ed6eaa005f2a0e57ad03c081faff108fae8304e6706e3ca2d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2015-09-08T17:28:02Z",
    "title_canon_sha256": "9c9ec73309910721566681ca40a85e162bb2c9ed3e0319f63ef2f7dac65c85ed"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1509.02456",
    "kind": "arxiv",
    "version": 7
  }
}