Pith Number

pith:RTDAGHTU

pith:2015:RTDAGHTU3H6A3S6U4YADSH2KUN

not attested not anchored not stored refs pending

Impulse and sampled-data optimal control of heat equations, and error estimates

Emmanuel Tr\'elat (LJLL), Lijuan Wang, Yubiao Zhang

arxiv:1509.05932 v1 · 2015-09-19 · 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{RTDAGHTU3H6A3S6U4YADSH2KUN}

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	2026-05-18T01:32:36.332682Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8cc6031e74d9fc0dcbd4e600391f4aa36e0e44238327558de570cf9dbe8ffc46

Aliases

arxiv: 1509.05932 · arxiv_version: 1509.05932v1 · doi: 10.48550/arxiv.1509.05932 · pith_short_12: RTDAGHTU3H6A · pith_short_16: RTDAGHTU3H6A3S6U · pith_short_8: RTDAGHTU

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/RTDAGHTU3H6A3S6U4YADSH2KUN \
  | 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: 8cc6031e74d9fc0dcbd4e600391f4aa36e0e44238327558de570cf9dbe8ffc46

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a68ceb3465c26ada718e23c3ef89e7cc9756d85a1ca8a0dea8ca7baf7adfe862",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2015-09-19T19:43:08Z",
    "title_canon_sha256": "afc784f7394f44803e5da50f46ef2a529c698c904dd83a2c39868da5d2ea345e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1509.05932",
    "kind": "arxiv",
    "version": 1
  }
}