Pith Number

pith:QBDCNWFW

pith:2015:QBDCNWFWGMSHGI32DWUPJTQ5WT

not attested not anchored not stored refs pending

The gradient flow structure for incompressible immiscible two-phase flows in porous media

Cl\'ement Canc\`es, L\'eonard Monsaingeon, Thomas O. Gallou\"et

arxiv:1503.01330 v1 · 2015-03-04 · math.AP

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{QBDCNWFWGMSHGI32DWUPJTQ5WT}

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	2026-05-18T02:25:34.783241Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

804626d8b6332473237a1da8f4ce1db4e36c12881e28f1580066a907570ea657

Aliases

arxiv: 1503.01330 · arxiv_version: 1503.01330v1 · doi: 10.48550/arxiv.1503.01330 · pith_short_12: QBDCNWFWGMSH · pith_short_16: QBDCNWFWGMSHGI32 · pith_short_8: QBDCNWFW

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/QBDCNWFWGMSHGI32DWUPJTQ5WT \
  | 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: 804626d8b6332473237a1da8f4ce1db4e36c12881e28f1580066a907570ea657

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a7a7da4a6fb129fdc0cab603c8bbf2b1868195a7ca006c8800ffe8207f80d3c4",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2015-03-04T15:04:25Z",
    "title_canon_sha256": "8c30f7a61c6482f727649babce410477c2f00baca67c5a1865c405c9e66a9f47"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1503.01330",
    "kind": "arxiv",
    "version": 1
  }
}