Pith Number

pith:4WPXRQR6

pith:2015:4WPXRQR6J4NVI2O4N7I7B3SIJJ

not attested not anchored not stored refs pending

An Adjoint Method for a High-Order Discretization of Deforming Domain Conservation Laws for Optimization of Flow Problems

Matthew J. Zahr, Per-Olof Persson

arxiv:1512.04619 v2 · 2015-12-15 · math.OC · math.DS

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{4WPXRQR6J4NVI2O4N7I7B3SIJJ}

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	2026-05-18T01:04:28.282757Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e59f78c23e4f1b5469dc6fd1f0ee484a4fad30b9a6b800eb1dac5d3c0b0d3623

Aliases

arxiv: 1512.04619 · arxiv_version: 1512.04619v2 · doi: 10.48550/arxiv.1512.04619 · pith_short_12: 4WPXRQR6J4NV · pith_short_16: 4WPXRQR6J4NVI2O4 · pith_short_8: 4WPXRQR6

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/4WPXRQR6J4NVI2O4N7I7B3SIJJ \
  | 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: e59f78c23e4f1b5469dc6fd1f0ee484a4fad30b9a6b800eb1dac5d3c0b0d3623

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "04434d1c7aeb948eee254e441459a03e00fd1d71aa9a160e3a63b53d8fb677d7",
    "cross_cats_sorted": [
      "math.DS"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2015-12-15T01:22:00Z",
    "title_canon_sha256": "8a0deab6a721e59deb0915dfaacfc16d46b8bbf0f724e69986ea9336b42d82dd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1512.04619",
    "kind": "arxiv",
    "version": 2
  }
}