Pith Number

pith:QT7FAWGQ

pith:2014:QT7FAWGQW6F7XGT57EM5EDWQKN

not attested not anchored not stored refs pending

Optimal control of the bidomain system (IV): Corrected proofs of the stability and regularity theorems

Karl Kunisch, Marcus Wagner

arxiv:1409.6904 v2 · 2014-09-24 · 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{QT7FAWGQW6F7XGT57EM5EDWQKN}

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	2026-05-18T01:34:38.110908Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

84fe5058d0b78bfb9a7df919d20ed053419b5f0f429ee6d2f6ea0f442c6489f9

Aliases

arxiv: 1409.6904 · arxiv_version: 1409.6904v2 · doi: 10.48550/arxiv.1409.6904 · pith_short_12: QT7FAWGQW6F7 · pith_short_16: QT7FAWGQW6F7XGT5 · pith_short_8: QT7FAWGQ

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/QT7FAWGQW6F7XGT57EM5EDWQKN \
  | 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: 84fe5058d0b78bfb9a7df919d20ed053419b5f0f429ee6d2f6ea0f442c6489f9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a7c8637c6f8c59314af950093fc3124c013d1acef0968c8e87cf13a2d18030b5",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2014-09-24T11:20:50Z",
    "title_canon_sha256": "1afcf46e4df412de51951f12aaae60f61b4a6bd8ec6fc91445ec935e075c6751"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1409.6904",
    "kind": "arxiv",
    "version": 2
  }
}