Pith Number

pith:GGPC5UCM

pith:2015:GGPC5UCMAGZVHKF2H45ZUO4KSY

not attested not anchored not stored refs pending

Elliptic and parabolic equations with Dirichlet conditions at infinity on Riemannian manifolds

Dario D. Monticelli, Fabio Punzo, Paolo Mastrolia

arxiv:1511.09023 v1 · 2015-11-29 · math.AP · math.DG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{GGPC5UCMAGZVHKF2H45ZUO4KSY}

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	2026-05-18T01:25:45.822669Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

319e2ed04c01b353a8ba3f3b9a3b8a9634d0a9f152b2766eabd168cc357d4473

Aliases

arxiv: 1511.09023 · arxiv_version: 1511.09023v1 · doi: 10.48550/arxiv.1511.09023 · pith_short_12: GGPC5UCMAGZV · pith_short_16: GGPC5UCMAGZVHKF2 · pith_short_8: GGPC5UCM

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/GGPC5UCMAGZVHKF2H45ZUO4KSY \
  | 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: 319e2ed04c01b353a8ba3f3b9a3b8a9634d0a9f152b2766eabd168cc357d4473

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e7e2a5ce346441c8f039426faee4478597a1fdfa6f7c6fb53ff40ad8aa6f5371",
    "cross_cats_sorted": [
      "math.DG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2015-11-29T15:13:53Z",
    "title_canon_sha256": "5fe0fc636c6b994bb0bb278cffa8c5b56ad30f47081e839220c4cd59f2fa2e8c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1511.09023",
    "kind": "arxiv",
    "version": 1
  }
}