Pith Number

pith:MJIOPHB5

pith:2016:MJIOPHB5RDZOBOLRG4H764ILJQ

not attested not anchored not stored refs pending

A robust and efficient adaptive multigrid solver for the optimal control of phase field formulations of geometric evolution laws

A. Madzvamuse, C. Venkataraman, F. Yang, V. Styles

arxiv:1603.08572 v1 · 2016-03-28 · math.OC

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{MJIOPHB5RDZOBOLRG4H764ILJQ}

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	2026-05-18T00:51:51.536734Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6250e79c3d88f2e0b971370fff710b4c173ca11746a642106e1077c87884ed4a

Aliases

arxiv: 1603.08572 · arxiv_version: 1603.08572v1 · doi: 10.48550/arxiv.1603.08572 · pith_short_12: MJIOPHB5RDZO · pith_short_16: MJIOPHB5RDZOBOLR · pith_short_8: MJIOPHB5

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/MJIOPHB5RDZOBOLRG4H764ILJQ \
  | 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: 6250e79c3d88f2e0b971370fff710b4c173ca11746a642106e1077c87884ed4a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "145c1975bac7731942575725b17f4145d0711460fe7c576b63a9304ab6db9a8a",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by-nc-sa/4.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2016-03-28T21:35:14Z",
    "title_canon_sha256": "980edb27a23a9062f63f8447817975bca9f33a87a33601dd0739a2401815afea"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1603.08572",
    "kind": "arxiv",
    "version": 1
  }
}