pith. sign in
Pith Number

pith:E4ZSPHZ4

pith:2015:E4ZSPHZ42L3NSEDJ7WQ2RQEH7J
not attested not anchored not stored refs pending

Numerical Methods for a Poisson-Nernst-Planck-Fermi Model

Bob Eisenberg, Jinn-Liang Liu

arxiv:1506.05953 v1 · 2015-06-19 · q-bio.BM

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{E4ZSPHZ42L3NSEDJ7WQ2RQEH7J}

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 2026-05-18T01:42:46.682875Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

2733279f3cd2f6d91069fda1a8c087fa612e98bc721d1dbc57f2ccf5c23a1584

Aliases

arxiv: 1506.05953 · arxiv_version: 1506.05953v1 · doi: 10.48550/arxiv.1506.05953 · pith_short_12: E4ZSPHZ42L3N · pith_short_16: E4ZSPHZ42L3NSEDJ · pith_short_8: E4ZSPHZ4
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/E4ZSPHZ42L3NSEDJ7WQ2RQEH7J \
  | 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: 2733279f3cd2f6d91069fda1a8c087fa612e98bc721d1dbc57f2ccf5c23a1584
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "c1ab622027e09a13ca38382a59f75de54344b564cc56c0988ff5be19a7ad6062",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "q-bio.BM",
    "submitted_at": "2015-06-19T10:34:27Z",
    "title_canon_sha256": "6b349ce836c3dcf53bdb56d1917c5c4028aa0ec1d921d7f99e738bff77a71a15"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1506.05953",
    "kind": "arxiv",
    "version": 1
  }
}