Pith Number

pith:PKE2BMKR

pith:2019:PKE2BMKRCNL2BRL6QKJ4PNA5WN

not attested not anchored not stored refs pending

Existence through convexity for the truncated Laplacians

Giulio Galise, Hitoshi Ishii, Isabeau Birindelli

arxiv:1902.08822 v1 · 2019-02-23 · 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{PKE2BMKRCNL2BRL6QKJ4PNA5WN}

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	2026-05-17T23:39:54.917968Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7a89a0b1511357a0c57e8293c7b41db34c0bf12a27179a62c937c6a96181f9cf

Aliases

arxiv: 1902.08822 · arxiv_version: 1902.08822v1 · doi: 10.48550/arxiv.1902.08822 · pith_short_12: PKE2BMKRCNL2 · pith_short_16: PKE2BMKRCNL2BRL6 · pith_short_8: PKE2BMKR

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/PKE2BMKRCNL2BRL6QKJ4PNA5WN \
  | 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: 7a89a0b1511357a0c57e8293c7b41db34c0bf12a27179a62c937c6a96181f9cf

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5e2a4f64ed0082b6ea990f7215aeb0a5dc7f099dc9f64e38e74fd821a320f808",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2019-02-23T17:56:36Z",
    "title_canon_sha256": "6a642192d729fbc78744d8734eb17d5055aa1ac054ea36844e3b68c0d5b62024"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1902.08822",
    "kind": "arxiv",
    "version": 1
  }
}