Pith Number

pith:4FPSQCHT

pith:2016:4FPSQCHTQ6WQBLRRM7APWZUK2N

not attested not anchored not stored refs pending

A mixed finite element approximation for Darcy-Forchheimer flows of slightly compressible fluids

Thinh Kieu

arxiv:1606.03379 v1 · 2016-06-10 · math.NA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{4FPSQCHTQ6WQBLRRM7APWZUK2N}

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	2026-05-18T01:12:36.995035Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e15f2808f387ad00ae3167c0fb668ad340515640eaacd86124b328d1a6eadb63

Aliases

arxiv: 1606.03379 · arxiv_version: 1606.03379v1 · doi: 10.48550/arxiv.1606.03379 · pith_short_12: 4FPSQCHTQ6WQ · pith_short_16: 4FPSQCHTQ6WQBLRR · pith_short_8: 4FPSQCHT

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/4FPSQCHTQ6WQBLRRM7APWZUK2N \
  | 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: e15f2808f387ad00ae3167c0fb668ad340515640eaacd86124b328d1a6eadb63

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b434c731dc125cd3d7f99a0a127a2f5d86cfefb1da09d7379fc5ca63b31bcddd",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/publicdomain/zero/1.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2016-06-10T15:57:54Z",
    "title_canon_sha256": "9e244132be9c6990de462b1a6b13434a9788e4649e57b0836b8d280e2822c9a5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1606.03379",
    "kind": "arxiv",
    "version": 1
  }
}