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Pith Number

pith:T2QV27MN

pith:2016:T2QV27MNDHRW4SFWBPUJBWKDCY
not attested not anchored not stored refs pending

Existence analysis of a single-phase flow mixture model with van der Waals pressure

Ansgar J\"ungel, Ji\v{r}\'i Miky\v{s}ka, Nicola Zamponi

arxiv:1612.04161 v1 · 2016-12-13 · math.AP

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{T2QV27MNDHRW4SFWBPUJBWKDCY}

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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 2026-05-18T00:55:05.298240Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

9ea15d7d8d19e36e48b60be890d943162cf3065a7bf6e01e321f0a9ffcd63cf2

Aliases

arxiv: 1612.04161 · arxiv_version: 1612.04161v1 · doi: 10.48550/arxiv.1612.04161 · pith_short_12: T2QV27MNDHRW · pith_short_16: T2QV27MNDHRW4SFW · pith_short_8: T2QV27MN
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/T2QV27MNDHRW4SFWBPUJBWKDCY \
  | 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: 9ea15d7d8d19e36e48b60be890d943162cf3065a7bf6e01e321f0a9ffcd63cf2
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "e248224cbe0ed90dbaa6634f7bdcd9f3dfd66ae907b43214554c63295ed70548",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2016-12-13T13:34:29Z",
    "title_canon_sha256": "b208c67ae17a32ae9ea770aec5286f6f1f18ebd0291bc83b6244188b8a38a9db"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1612.04161",
    "kind": "arxiv",
    "version": 1
  }
}