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Pith Number

pith:AZX5EWWM

pith:2011:AZX5EWWMVZF34OCAARQPF66EOQ
not attested not anchored not stored refs pending

Existence and stability of weak solutions for a degenerate parabolic system modelling two-phase flows in porous media

Bogdan-Vasile Matioc (IFAM), Joachim Escher (IFAM), Philippe Laurencot (IMT)

arxiv:1101.3964 v1 · 2011-01-20 · math.AP

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{AZX5EWWMVZF34OCAARQPF66EOQ}

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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 2026-05-18T04:10:08.890056Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

066fd25accae4bbe38400460f2fbc4742a1669ac2c1585e4884f992210b22f15

Aliases

arxiv: 1101.3964 · arxiv_version: 1101.3964v1 · doi: 10.48550/arxiv.1101.3964 · pith_short_12: AZX5EWWMVZF3 · pith_short_16: AZX5EWWMVZF34OCA · pith_short_8: AZX5EWWM
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/AZX5EWWMVZF34OCAARQPF66EOQ \
  | 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: 066fd25accae4bbe38400460f2fbc4742a1669ac2c1585e4884f992210b22f15
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "2de9eac6110be97118451cf8890b02c4f3e332331babb0f0a9c4ca48f7ff6bd9",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2011-01-20T16:55:14Z",
    "title_canon_sha256": "51392a346db01f0383e3f0286b3fa5802b385384239ea1a268a73dfcbd04d213"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1101.3964",
    "kind": "arxiv",
    "version": 1
  }
}