Pith Number

pith:7Q4U5ZJ6

pith:2015:7Q4U5ZJ6TEI7D7NYRX3VAFJGEE

not attested not anchored not stored refs pending

Fundamental form of the electrostatic $\delta f$-PIC algorithm and discovery of a converged numerical instability

George J. Wilkie, William Dorland

arxiv:1512.03984 v3 · 2015-12-13 · physics.plasm-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{7Q4U5ZJ6TEI7D7NYRX3VAFJGEE}

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	2026-05-18T01:14:01.691297Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fc394ee53e9911f1fdb88df75015262125054aa1f46437061a25ec9a7f7523d1

Aliases

arxiv: 1512.03984 · arxiv_version: 1512.03984v3 · doi: 10.48550/arxiv.1512.03984 · pith_short_12: 7Q4U5ZJ6TEI7 · pith_short_16: 7Q4U5ZJ6TEI7D7NY · pith_short_8: 7Q4U5ZJ6

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/7Q4U5ZJ6TEI7D7NYRX3VAFJGEE \
  | 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: fc394ee53e9911f1fdb88df75015262125054aa1f46437061a25ec9a7f7523d1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "646d431ef4aaa2378cb8dd694d8acc88524bfd13ef453b35fb4ff3fb5154d2fb",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "physics.plasm-ph",
    "submitted_at": "2015-12-13T01:56:06Z",
    "title_canon_sha256": "1eef5684402b6e515dc048ca534cf970f62838513ec9520f1c8c7f65b2d0cb75"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1512.03984",
    "kind": "arxiv",
    "version": 3
  }
}