Pith Number

pith:3POWGLFF

pith:2016:3POWGLFFUDB4UZESGXNPH6XES3

not attested not anchored not stored refs pending

Lipschitz continuity and convexity preserving for solutions of semilinear evolution equations in the Heisenberg group

Juan Manfredi, Qing Liu, Xiaodan Zhou

arxiv:1603.08986 v2 · 2016-03-29 · 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{3POWGLFFUDB4UZESGXNPH6XES3}

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	2026-05-18T01:17:49.840411Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

dbdd632ca5a0c3ca649235daf3fae496f0114b4492673cb154e2e4c9a4c3f549

Aliases

arxiv: 1603.08986 · arxiv_version: 1603.08986v2 · doi: 10.48550/arxiv.1603.08986 · pith_short_12: 3POWGLFFUDB4 · pith_short_16: 3POWGLFFUDB4UZES · pith_short_8: 3POWGLFF

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/3POWGLFFUDB4UZESGXNPH6XES3 \
  | 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: dbdd632ca5a0c3ca649235daf3fae496f0114b4492673cb154e2e4c9a4c3f549

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d0a311e73b4a1595e878b3ca2fe246d0829621494153a413c6c4633bec8edef6",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2016-03-29T22:26:57Z",
    "title_canon_sha256": "cf4b7e87649c2f3c8601547bc11390e833b1f4368b1380222005cc75859704ef"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1603.08986",
    "kind": "arxiv",
    "version": 2
  }
}