Pith Number

pith:LUSFJZ65

pith:2013:LUSFJZ65WBDV6B7XU5OBBAJBPC

not attested not anchored not stored refs pending

A fully anisotropic mechanism for formation of trapped surfaces in vacuum

Igor Rodnianski, Jonathan Luk, Sergiu Klainerman

arxiv:1302.5951 v2 · 2013-02-24 · gr-qc · math-ph · math.AP · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{LUSFJZ65WBDV6B7XU5OBBAJBPC}

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	2026-05-18T00:39:05.067376Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5d2454e7ddb0475f07f7a75c10812178a4d4105785478a4637b975c69849e5da

Aliases

arxiv: 1302.5951 · arxiv_version: 1302.5951v2 · doi: 10.48550/arxiv.1302.5951 · pith_short_12: LUSFJZ65WBDV · pith_short_16: LUSFJZ65WBDV6B7X · pith_short_8: LUSFJZ65

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/LUSFJZ65WBDV6B7XU5OBBAJBPC \
  | 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: 5d2454e7ddb0475f07f7a75c10812178a4d4105785478a4637b975c69849e5da

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "eef37f79672cda5a827790ea02b450e441de57588576f143b5d0bd3e4b9d9907",
    "cross_cats_sorted": [
      "math-ph",
      "math.AP",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2013-02-24T20:42:02Z",
    "title_canon_sha256": "4da7002eb8e4a932f9ba37f7d769f6784ba1b3234aead9564dbe7737d3af7bb8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1302.5951",
    "kind": "arxiv",
    "version": 2
  }
}