Pith Number

pith:JWZLY2F6

pith:2016:JWZLY2F65FZROUABAMG7FRXJY7

not attested not anchored not stored refs pending

A free energy satisfying discontinuous Galerkin method for one-dimensional Poisson--Nernst--Planck systems

Hailiang Liu, Zhongming Wang

arxiv:1611.00082 v1 · 2016-10-31 · math.NA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{JWZLY2F65FZROUABAMG7FRXJY7}

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	2026-05-18T00:54:27.952852Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4db2bc68bee973175001030df2c6e9c7e644dcb524b318e7b2842e91999bb472

Aliases

arxiv: 1611.00082 · arxiv_version: 1611.00082v1 · doi: 10.48550/arxiv.1611.00082 · pith_short_12: JWZLY2F65FZR · pith_short_16: JWZLY2F65FZROUAB · pith_short_8: JWZLY2F6

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/JWZLY2F65FZROUABAMG7FRXJY7 \
  | 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: 4db2bc68bee973175001030df2c6e9c7e644dcb524b318e7b2842e91999bb472

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0d1d17cc99b1bc9d85faf848cc058314f1b4ac5f5c7b32fb83eebf8735f0f1b2",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2016-10-31T23:46:50Z",
    "title_canon_sha256": "0e39e19545b6e6d65b05fb2ee9ebd27386a2907efdfb8372fa60bded1a7fac6b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1611.00082",
    "kind": "arxiv",
    "version": 1
  }
}