pith. sign in
Pith Number

pith:ZM27IXGU

pith:2016:ZM27IXGU2KXXWMCJIAIKHW3LSY
not attested not anchored not stored refs pending

Particle Transport in a 3D duct by adding and doubling

Barry D. Ganapol

arxiv:1602.00064 v1 · 2016-01-30 · physics.comp-ph

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{ZM27IXGU2KXXWMCJIAIKHW3LSY}

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 2026-05-18T01:21:36.403576Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

cb35f45cd4d2af7b30494010a3db6b963e5b2e976bdb6d553b75584a43c12462

Aliases

arxiv: 1602.00064 · arxiv_version: 1602.00064v1 · doi: 10.48550/arxiv.1602.00064 · pith_short_12: ZM27IXGU2KXX · pith_short_16: ZM27IXGU2KXXWMCJ · pith_short_8: ZM27IXGU
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/ZM27IXGU2KXXWMCJIAIKHW3LSY \
  | 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: cb35f45cd4d2af7b30494010a3db6b963e5b2e976bdb6d553b75584a43c12462
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "cc6a30f0d06188d2fc68fed2d5f54b80f3026964680f63d0fcfd7102a4e0071d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "physics.comp-ph",
    "submitted_at": "2016-01-30T02:42:26Z",
    "title_canon_sha256": "a3fd5505e456d20d16dab1581be9cd096c060fbe9ab20268dd66aa423addc235"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1602.00064",
    "kind": "arxiv",
    "version": 1
  }
}