Pith Number

pith:7PZDMEO4

pith:2013:7PZDMEO4PUJRD2ZEK62FSN5EMU

not attested not anchored not stored refs pending

A deep quench approach to the optimal control of an Allen-Cahn equation with dynamic boundary condition and double obstacle potentials

J\"urgen Sprekels, M. Hassan Farshbaf-Shaker, Pierluigi Colli

arxiv:1308.5617 v1 · 2013-08-26 · math.AP · 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{7PZDMEO4PUJRD2ZEK62FSN5EMU}

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	2026-05-18T03:15:03.962660Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fbf23611dc7d1311eb2457b45937a46509dce5cc044157ffd8161f747a7ae3d1

Aliases

arxiv: 1308.5617 · arxiv_version: 1308.5617v1 · doi: 10.48550/arxiv.1308.5617 · pith_short_12: 7PZDMEO4PUJR · pith_short_16: 7PZDMEO4PUJRD2ZE · pith_short_8: 7PZDMEO4

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/7PZDMEO4PUJRD2ZEK62FSN5EMU \
  | 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: fbf23611dc7d1311eb2457b45937a46509dce5cc044157ffd8161f747a7ae3d1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f740fa9509f49db0889d93ee52c70bccf640eaa6fdc4c3f84f6094db5ee849d3",
    "cross_cats_sorted": [
      "math.OC"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2013-08-26T15:45:55Z",
    "title_canon_sha256": "9f4b6df10a3e0874497fa9b700b6b31e27e2720aebc38d5fda4d775a61ac9884"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1308.5617",
    "kind": "arxiv",
    "version": 1
  }
}