Pith Number

pith:MJKR7IGN

pith:2013:MJKR7IGNHFBE2TH46WOI6AJRXT

not attested not anchored not stored refs pending

Optimal control of Allen-Cahn systems

Christoph Rupprecht, Claudia Hecht, Josef Michl, Luise Blank, M. Hassan Farshbaf-Shaker

arxiv:1312.2351 v1 · 2013-12-09 · 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{MJKR7IGNHFBE2TH46WOI6AJRXT}

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	2026-05-18T03:05:10.586885Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

62551fa0cd39424d4cfcf59c8f0131bcdc2c0ce1b384068849940469a62acf8f

Aliases

arxiv: 1312.2351 · arxiv_version: 1312.2351v1 · doi: 10.48550/arxiv.1312.2351 · pith_short_12: MJKR7IGNHFBE · pith_short_16: MJKR7IGNHFBE2TH4 · pith_short_8: MJKR7IGN

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/MJKR7IGNHFBE2TH46WOI6AJRXT \
  | 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: 62551fa0cd39424d4cfcf59c8f0131bcdc2c0ce1b384068849940469a62acf8f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e8f8fa6057d24dfbecbeb1a2fd50232f4e3d0f113aa9e9bfd85d82ec900444e5",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2013-12-09T09:26:09Z",
    "title_canon_sha256": "e41646f44ed401945874c6055d17b2cf88831cadef99d3164cb0cd7c8bb5c52e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1312.2351",
    "kind": "arxiv",
    "version": 1
  }
}