Pith Number

pith:YKZPQM5A

pith:2015:YKZPQM5ALYTJDFSTTYQOD74QMB

not attested not anchored not stored refs pending

Null boundary controllability of a 1-dimensional heat equation with an internal point mass

Jose de Jesus Martinez, Scott W. Hansen

arxiv:1506.07940 v2 · 2015-06-26 · 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{YKZPQM5ALYTJDFSTTYQOD74QMB}

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	2026-05-18T01:36:12.652421Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c2b2f833a05e269196539e20e1ff90607a045f3a4d730b26f63be8de4253b663

Aliases

arxiv: 1506.07940 · arxiv_version: 1506.07940v2 · doi: 10.48550/arxiv.1506.07940 · pith_short_12: YKZPQM5ALYTJ · pith_short_16: YKZPQM5ALYTJDFST · pith_short_8: YKZPQM5A

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/YKZPQM5ALYTJDFSTTYQOD74QMB \
  | 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: c2b2f833a05e269196539e20e1ff90607a045f3a4d730b26f63be8de4253b663

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2bd0b3b70dbc44230832e5104595633c1e50c31f7c76d449b9b17497def4e4e6",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2015-06-26T02:10:13Z",
    "title_canon_sha256": "e7aa0f2e028ca63bf0fdca79b87e1ada89acb084a332bf7b7d5529940a101291"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1506.07940",
    "kind": "arxiv",
    "version": 2
  }
}