Pith Number

pith:ZWJGUZ5S

pith:2015:ZWJGUZ5SSWPHL4AEJTZTW7YUTZ

not attested not anchored not stored refs pending

Nonexistence of solutions to parabolic differential inequalities with a potential on Riemannian manifolds

D. D. Monticelli, F. Punzo, P. Mastrolia

arxiv:1502.07593 v1 · 2015-02-26 · 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{ZWJGUZ5SSWPHL4AEJTZTW7YUTZ}

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	2026-05-18T02:26:03.319904Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cd926a67b2959e75f0044cf33b7f149e6749ede13fb6fd839876c2fdcb249c47

Aliases

arxiv: 1502.07593 · arxiv_version: 1502.07593v1 · doi: 10.48550/arxiv.1502.07593 · pith_short_12: ZWJGUZ5SSWPH · pith_short_16: ZWJGUZ5SSWPHL4AE · pith_short_8: ZWJGUZ5S

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/ZWJGUZ5SSWPHL4AEJTZTW7YUTZ \
  | 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: cd926a67b2959e75f0044cf33b7f149e6749ede13fb6fd839876c2fdcb249c47

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ab459dc5426a12eca9a081197c7b2242a2b4c2ca9c74a8e1604a52caf2e8fe18",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2015-02-26T15:34:07Z",
    "title_canon_sha256": "1a70e12c41ff8306ee0859b2608e8b4d1e931cc39955a87b321787692aca0cd9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1502.07593",
    "kind": "arxiv",
    "version": 1
  }
}