pith. sign in
Pith Number

pith:IMG3RZFN

pith:2016:IMG3RZFN3FFH3V775KBYJPRQZ2
not attested not anchored not stored refs pending

Many Faces of Boussinesq Approximations

Nasser Al-Salti, Vladimir A. Vladimirov

arxiv:1611.03980 v1 · 2016-11-12 · physics.flu-dyn

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{IMG3RZFN3FFH3V775KBYJPRQZ2}

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 2026-05-18T00:59:17.938707Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

430db8e4add94a7dd7ffea8384be30ce80e703b8ef92190646e9db3b6c4ffe35

Aliases

arxiv: 1611.03980 · arxiv_version: 1611.03980v1 · doi: 10.48550/arxiv.1611.03980 · pith_short_12: IMG3RZFN3FFH · pith_short_16: IMG3RZFN3FFH3V77 · pith_short_8: IMG3RZFN
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/IMG3RZFN3FFH3V775KBYJPRQZ2 \
  | 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: 430db8e4add94a7dd7ffea8384be30ce80e703b8ef92190646e9db3b6c4ffe35
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "327d59a77bcda95a04b8fd436f517455c131784921a91eb363b5595d5523d16b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "physics.flu-dyn",
    "submitted_at": "2016-11-12T10:19:27Z",
    "title_canon_sha256": "424fc5bfefa5994f23de144c40ec7114d306630e6a0fa5caf66a2ec96b1a77e5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1611.03980",
    "kind": "arxiv",
    "version": 1
  }
}