Pith Number

pith:ZKPILXG4

pith:2017:ZKPILXG4FHZ4TA557JDKV23APD

not attested not anchored not stored refs pending

Optimal control of reaction-diffusion systems with hysteresis

Christian M\"unch

arxiv:1705.11031 v1 · 2017-05-31 · 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{ZKPILXG4FHZ4TA557JDKV23APD}

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	2026-05-18T00:43:19.484176Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ca9e85dcdc29f3c983bdfa46aaeb6078cb54ef3fcea11f561d32e9325f584ad4

Aliases

arxiv: 1705.11031 · arxiv_version: 1705.11031v1 · doi: 10.48550/arxiv.1705.11031 · pith_short_12: ZKPILXG4FHZ4 · pith_short_16: ZKPILXG4FHZ4TA55 · pith_short_8: ZKPILXG4

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/ZKPILXG4FHZ4TA557JDKV23APD \
  | 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: ca9e85dcdc29f3c983bdfa46aaeb6078cb54ef3fcea11f561d32e9325f584ad4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8db13f103ba159d7cbc1034beca8ec094569b6931b8829895172f1156d15d649",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2017-05-31T11:01:13Z",
    "title_canon_sha256": "b6d639d4407038cfa7ccfe940df06d285519e4bc94e4a6c81d13723359d3e643"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1705.11031",
    "kind": "arxiv",
    "version": 1
  }
}