Pith Number

pith:N3AFNM5K

pith:2021:N3AFNM5KLSQWZJDTYO4KEKJALK

not attested not anchored not stored refs pending

A visual study on the spray of gas-liquid atomizer

Abbas Elkaie, Armin Abdehkakha, Maziar Shafaee, Mohammad Hosein Sabour

arxiv:2106.04610 v1 · 2021-06-08 · 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{N3AFNM5KLSQWZJDTYO4KEKJALK}

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	2026-07-05T02:47:47.140763Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6ec056b3aa5ca16ca473c3b8a229205ab03bee6ec9ddcf1064a788132aa02e4b

Aliases

arxiv: 2106.04610 · arxiv_version: 2106.04610v1 · doi: 10.48550/arxiv.2106.04610 · pith_short_12: N3AFNM5KLSQW · pith_short_16: N3AFNM5KLSQWZJDT · pith_short_8: N3AFNM5K

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/N3AFNM5KLSQWZJDTYO4KEKJALK \
  | 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: 6ec056b3aa5ca16ca473c3b8a229205ab03bee6ec9ddcf1064a788132aa02e4b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7b6f368ca6d35ab69f0e58c978824cf1b20c1cf0eef860b09a565d1cb098cdf5",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "physics.flu-dyn",
    "submitted_at": "2021-06-08T18:02:04Z",
    "title_canon_sha256": "5d8cfbe83c9d9c2f287a6240fbc3d257b5e9615dafa7f9beafa4dcbfa79b2f82"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2106.04610",
    "kind": "arxiv",
    "version": 1
  }
}