pith. sign in
Pith Number

pith:KQHDUSGZ

pith:2011:KQHDUSGZCZM472RV2BEVB4NNNI
not attested not anchored not stored refs pending

Phase appearance or disappearance in two-phase flows

Anela Kumbaro, Floraine Cordier, Pierre Degond (IMT)

arxiv:1110.0597 v1 · 2011-10-04 · math-ph · math.MP

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{KQHDUSGZCZM472RV2BEVB4NNNI}

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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 2026-05-18T02:54:47.404707Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

540e3a48d91659cfea35d04950f1ad6a0e5fc9bcc5b002ab1b4b73e6413e41a0

Aliases

arxiv: 1110.0597 · arxiv_version: 1110.0597v1 · doi: 10.48550/arxiv.1110.0597 · pith_short_12: KQHDUSGZCZM4 · pith_short_16: KQHDUSGZCZM472RV · pith_short_8: KQHDUSGZ
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/KQHDUSGZCZM472RV2BEVB4NNNI \
  | 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: 540e3a48d91659cfea35d04950f1ad6a0e5fc9bcc5b002ab1b4b73e6413e41a0
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "33e7d7ef7267995f53085ca4f732b53a130acfa5f4676dfae1e7d04c0d5f1a73",
    "cross_cats_sorted": [
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2011-10-04T07:46:14Z",
    "title_canon_sha256": "367ae88dc3bc1d33dc06806c13522e1c8dc43bb2467f724ff1c5cbb0c8783074"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1110.0597",
    "kind": "arxiv",
    "version": 1
  }
}