Pith Number

pith:MCSBI2VR

pith:2015:MCSBI2VR6SHGUAAOWRLOKMNZTU

not attested not anchored not stored refs pending

Boundary Layer Solutions of Charge Conserving Poisson-Boltzmann Equations: One-Dimensional Case

Chiun-Chang Lee, Chun Liu, Hijin Lee, Tai-Chia Lin, YunKyong Hyon

arxiv:1504.06951 v1 · 2015-04-27 · 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{MCSBI2VR6SHGUAAOWRLOKMNZTU}

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	2026-05-18T02:17:44.034031Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

60a4146ab1f48e6a000eb456e531b99d33ea58feda049137fc08cbd1a3b6a2bf

Aliases

arxiv: 1504.06951 · arxiv_version: 1504.06951v1 · doi: 10.48550/arxiv.1504.06951 · pith_short_12: MCSBI2VR6SHG · pith_short_16: MCSBI2VR6SHGUAAO · pith_short_8: MCSBI2VR

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/MCSBI2VR6SHGUAAOWRLOKMNZTU \
  | 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: 60a4146ab1f48e6a000eb456e531b99d33ea58feda049137fc08cbd1a3b6a2bf

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d3433a1b1ec43ef679e2908c7ee50b3fa5123a0c92087222db93d450f1e1385e",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by-nc-sa/3.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2015-04-27T07:26:17Z",
    "title_canon_sha256": "b02bfe652c80cb75bd6416599b9fe2c4571ef2b18500397314f6deca70d2f18a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1504.06951",
    "kind": "arxiv",
    "version": 1
  }
}