Pith Number

pith:E4FV5SVG

pith:2017:E4FV5SVGJU2OOJLSXQWKTT44JW

not attested not anchored not stored refs pending

Null controllability of linear and semilinear nonlocal heat equations with integral kernel

Umberto Biccari, V\'ictor Hern\'andez-Santamar\'ia

arxiv:1711.04690 v2 · 2017-11-13 · math.AP

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{E4FV5SVGJU2OOJLSXQWKTT44JW}

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	2026-05-18T00:14:34.363783Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

270b5ecaa64d34e72572bc2ca9cf9c4d98c88d66ed83dae4f167a0e8e92e49f4

Aliases

arxiv: 1711.04690 · arxiv_version: 1711.04690v2 · doi: 10.48550/arxiv.1711.04690 · pith_short_12: E4FV5SVGJU2O · pith_short_16: E4FV5SVGJU2OOJLS · pith_short_8: E4FV5SVG

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/E4FV5SVGJU2OOJLSXQWKTT44JW \
  | 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: 270b5ecaa64d34e72572bc2ca9cf9c4d98c88d66ed83dae4f167a0e8e92e49f4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2b475101f4f2a87846a580639e2c5c56ad7f8c662288e771048af82ec330bd70",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2017-11-13T16:34:09Z",
    "title_canon_sha256": "d0120c747627eb883556b11e1f90a508f6725cb9dde43f2ffbdc692f70c75551"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1711.04690",
    "kind": "arxiv",
    "version": 2
  }
}