Pith Number

pith:4AQPC6T7

pith:2015:4AQPC6T7WQA3MN2PNJYKBBF6B5

not attested not anchored not stored refs pending

Enhanced Microfluidic Mixing via a Tricritical Spiral Vortex Instability

Amy Q. Shen, Manuel A. Alves, Nigel Goldenfeld, Paulo J. Oliveira, Robert J. Poole, Simon J. Haward

arxiv:1509.00951 v1 · 2015-09-03 · physics.flu-dyn

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{4AQPC6T7WQA3MN2PNJYKBBF6B5}

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	2026-05-18T01:18:33.254281Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e020f17a7fb401b6374f6a70a084be0f4d8d7ce66e805629be58464778d1b619

Aliases

arxiv: 1509.00951 · arxiv_version: 1509.00951v1 · doi: 10.48550/arxiv.1509.00951 · pith_short_12: 4AQPC6T7WQA3 · pith_short_16: 4AQPC6T7WQA3MN2P · pith_short_8: 4AQPC6T7

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/4AQPC6T7WQA3MN2PNJYKBBF6B5 \
  | 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: e020f17a7fb401b6374f6a70a084be0f4d8d7ce66e805629be58464778d1b619

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e24b01de059e82a8ae5e2ea91d116336553bd2e61bce32c3803e5c47ac49e44e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "physics.flu-dyn",
    "submitted_at": "2015-09-03T06:03:08Z",
    "title_canon_sha256": "97ca59baf1b935f7bd7914b8a5cc0f41e4338ad3c7355ee1b3de7d02a7e343cc"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1509.00951",
    "kind": "arxiv",
    "version": 1
  }
}