Pith Number

pith:U7II3NXV

pith:2010:U7II3NXVKDX3CVW3O34JL5E667

not attested not anchored not stored refs pending

First-Order System Least Squares and the Energetic Variational Approach for Two-Phase Flow

C. Liu, J. Brannick, J. H. Adler, L. Zikatanov, T. Manteuffel

arxiv:1009.5711 v1 · 2010-09-28 · 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{U7II3NXVKDX3CVW3O34JL5E667}

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	2026-05-18T03:54:37.810008Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a7d08db6f550efb156db76f895f49ef7f95777d0b657881acfd5d2606ea1eb58

Aliases

arxiv: 1009.5711 · arxiv_version: 1009.5711v1 · doi: 10.48550/arxiv.1009.5711 · pith_short_12: U7II3NXVKDX3 · pith_short_16: U7II3NXVKDX3CVW3 · pith_short_8: U7II3NXV

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/U7II3NXVKDX3CVW3O34JL5E667 \
  | 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: a7d08db6f550efb156db76f895f49ef7f95777d0b657881acfd5d2606ea1eb58

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "338e5b50c6f523a22a009cb1c09fd3b2de54728e5c38805ee92e17059365ae2b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2010-09-28T22:03:47Z",
    "title_canon_sha256": "033e74bfe34b161d9a7319379eeef25a67b0bfbfc5307d7394ac87835be42414"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1009.5711",
    "kind": "arxiv",
    "version": 1
  }
}