Pith Number

pith:DMBKMEXT

pith:2015:DMBKMEXTTYSQ4QNKZ4JILF4TOE

not attested not anchored not stored refs pending

Large time behavior and Lyapunov functionals for a nonlocal differential equation

Danielle Hilhorst (LM-Orsay), Philippe Lauren\c{c}ot (IMT), Thanh-Nam Nguyen

arxiv:1511.01719 v1 · 2015-11-05 · 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{DMBKMEXTTYSQ4QNKZ4JILF4TOE}

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	2026-05-18T01:27:39.974999Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1b02a612f39e250e41aacf128597937137125721789f0570fe934fc6878d3d87

Aliases

arxiv: 1511.01719 · arxiv_version: 1511.01719v1 · doi: 10.48550/arxiv.1511.01719 · pith_short_12: DMBKMEXTTYSQ · pith_short_16: DMBKMEXTTYSQ4QNK · pith_short_8: DMBKMEXT

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/DMBKMEXTTYSQ4QNKZ4JILF4TOE \
  | 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: 1b02a612f39e250e41aacf128597937137125721789f0570fe934fc6878d3d87

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d5a28f071048808f050122cf257b849f53b95192dcbc2451704ddee5c7541664",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2015-11-05T12:48:29Z",
    "title_canon_sha256": "0151b51c5ed16f540d0dfa6f156c6355c4bd282d36bfe95aa91279f393b150de"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1511.01719",
    "kind": "arxiv",
    "version": 1
  }
}