Pith Number

pith:HTYIJJSV

pith:2015:HTYIJJSVIAITL4GDBFR4SYZNZE

not attested not anchored not stored refs pending

Multiplicative controllability for semilinear reaction-diffusion equations with finitely many changes of sign

Alexander Y. Khapalov, Giuseppe Floridia, Piermarco Cannarsa

arxiv:1510.04203 v1 · 2015-10-14 · math.AP · 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{HTYIJJSVIAITL4GDBFR4SYZNZE}

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	2026-05-18T00:38:11.732440Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3cf084a655401135f0c30963c9632dc906d554f2864f7376197693bdd21998dc

Aliases

arxiv: 1510.04203 · arxiv_version: 1510.04203v1 · doi: 10.48550/arxiv.1510.04203 · pith_short_12: HTYIJJSVIAIT · pith_short_16: HTYIJJSVIAITL4GD · pith_short_8: HTYIJJSV

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/HTYIJJSVIAITL4GDBFR4SYZNZE \
  | 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: 3cf084a655401135f0c30963c9632dc906d554f2864f7376197693bdd21998dc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "614ed73f48b6155aab0729fb0eea7479117364c11dfdd5a53a799cc67f417714",
    "cross_cats_sorted": [
      "math.OC"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2015-10-14T17:15:17Z",
    "title_canon_sha256": "4f359a540a29e336bd4c14a64222e7b66e4b30aa9f2cfc679aeb5ae52c8e5941"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1510.04203",
    "kind": "arxiv",
    "version": 1
  }
}