Pith Number

pith:RPXZGGSK

pith:2013:RPXZGGSKXOYG3P6JLJLXPABM6A

not attested not anchored not stored refs pending

Comparison principle, stochastic completeness and half-space theorems

Adriano A. Medeiros, G. Pacelli Bessa, Jorge H. de Lira

arxiv:1307.2658 v2 · 2013-07-10 · 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{RPXZGGSKXOYG3P6JLJLXPABM6A}

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	2026-05-18T03:17:46.139579Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8bef931a4abbb06dbfc95a5777802cf02327ed71faee6b35b9ff799c23c97e6e

Aliases

arxiv: 1307.2658 · arxiv_version: 1307.2658v2 · doi: 10.48550/arxiv.1307.2658 · pith_short_12: RPXZGGSKXOYG · pith_short_16: RPXZGGSKXOYG3P6J · pith_short_8: RPXZGGSK

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/RPXZGGSKXOYG3P6JLJLXPABM6A \
  | 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: 8bef931a4abbb06dbfc95a5777802cf02327ed71faee6b35b9ff799c23c97e6e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a0f2aae7f02e83118bd5e227b6e2477e1427f3b21be6c4ba92b1098d6dc7de1a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2013-07-10T03:00:29Z",
    "title_canon_sha256": "011da68438bf8035c04d55d29857e28c577e6a30e8fca7aec537d4bcb7624669"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1307.2658",
    "kind": "arxiv",
    "version": 2
  }
}