Pith Number

pith:WXS5DBC5

pith:2014:WXS5DBC5GY4VZPQEXMF2KRKKNH

not attested not anchored not stored refs pending

Analysis of expanded mixed finite element methods for the generalized Forchheimer equations

Thinh T. Kieu

arxiv:1409.7821 v1 · 2014-09-27 · 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{WXS5DBC5GY4VZPQEXMF2KRKKNH}

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	2026-05-18T02:41:40.504259Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b5e5d1845d36395cbe04bb0ba5454a69e39d827d665977a37156542e532625bd

Aliases

arxiv: 1409.7821 · arxiv_version: 1409.7821v1 · doi: 10.48550/arxiv.1409.7821 · pith_short_12: WXS5DBC5GY4V · pith_short_16: WXS5DBC5GY4VZPQE · pith_short_8: WXS5DBC5

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/WXS5DBC5GY4VZPQEXMF2KRKKNH \
  | 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: b5e5d1845d36395cbe04bb0ba5454a69e39d827d665977a37156542e532625bd

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "03ee7b5e564d406388d843fb9a18174d38c846818231494d8d8ce9d1375bf76e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2014-09-27T16:30:52Z",
    "title_canon_sha256": "11670dae29485153b6ff6a6b228e24f5d92d52f635c6e7dabfad7e75fc0e8191"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1409.7821",
    "kind": "arxiv",
    "version": 1
  }
}