Pith Number

pith:UU3JR7K3

pith:2026:UU3JR7K3245R5YW7TVQQVUGDXH

not attested not anchored not stored refs pending

A null controllability data assimilation for the bulk-surface heat equation with dynamic boundary conditions

Javier Ram\'irez-Ganga

arxiv:2606.07942 v1 · 2026-06-06 · 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{UU3JR7K3245R5YW7TVQQVUGDXH}

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	2026-06-09T01:04:56.041385Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a53698fd5bd73b1ee2df9d610ad0c3b9d5edce9253c734ea8fa2f4b6b6b6ace4

Aliases

arxiv: 2606.07942 · arxiv_version: 2606.07942v1 · doi: 10.48550/arxiv.2606.07942 · pith_short_12: UU3JR7K3245R · pith_short_16: UU3JR7K3245R5YW7 · pith_short_8: UU3JR7K3

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/UU3JR7K3245R5YW7TVQQVUGDXH \
  | 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: a53698fd5bd73b1ee2df9d610ad0c3b9d5edce9253c734ea8fa2f4b6b6b6ace4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3f4ba6c825f4b6cbec6e122610a599db09578d75e61d5bebde19970e3de2706f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2026-06-06T02:08:36Z",
    "title_canon_sha256": "1cc49db723508a212b2b0dcbd8eb9a2830e4d44de99b84577a3fa9bd5489ed5f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.07942",
    "kind": "arxiv",
    "version": 1
  }
}