Pith Number

pith:ZFJ3FREX

pith:2020:ZFJ3FREX3RPSW55AHQQRG2MOPX

not attested not anchored not stored refs pending

Robust Cooperative Output Regulation for a Network of Parabolic PDE Systems

Joachim Deutscher

arxiv:2010.11103 v1 · 2020-10-21 · 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{ZFJ3FREX3RPSW55AHQQRG2MOPX}

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	2026-07-05T01:44:59.341419Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c953b2c497dc5f2b77a03c2113698e7dcc38fef4949271147ceffbb9c49a2602

Aliases

arxiv: 2010.11103 · arxiv_version: 2010.11103v1 · doi: 10.48550/arxiv.2010.11103 · pith_short_12: ZFJ3FREX3RPS · pith_short_16: ZFJ3FREX3RPSW55A · pith_short_8: ZFJ3FREX

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/ZFJ3FREX3RPSW55AHQQRG2MOPX \
  | 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: c953b2c497dc5f2b77a03c2113698e7dcc38fef4949271147ceffbb9c49a2602

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "44fcecccadebf9574da6c01cda55804ead9505f8b926bd08ada045f886b60d25",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2020-10-21T16:11:51Z",
    "title_canon_sha256": "f99ba9763ccacb40ff54fd9e1be6005cb47b12d5a28a86e57dab418cea7d978d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2010.11103",
    "kind": "arxiv",
    "version": 1
  }
}