Pith Number

pith:JPTCMYBG

pith:2011:JPTCMYBGO5NEDWZBGN6D6VOBUR

not attested not anchored not stored refs pending

Bounds on area and charge for marginally trapped surfaces with cosmological constant

Walter Simon

arxiv:1109.6140 v5 · 2011-09-28 · gr-qc

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{JPTCMYBGO5NEDWZBGN6D6VOBUR}

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	2026-05-18T03:56:33.971402Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4be6266026775a41db21337c3f55c1a469c15876e228ad4eea055f6a1da84171

Aliases

arxiv: 1109.6140 · arxiv_version: 1109.6140v5 · doi: 10.48550/arxiv.1109.6140 · pith_short_12: JPTCMYBGO5NE · pith_short_16: JPTCMYBGO5NEDWZB · pith_short_8: JPTCMYBG

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/JPTCMYBGO5NEDWZBGN6D6VOBUR \
  | 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: 4be6266026775a41db21337c3f55c1a469c15876e228ad4eea055f6a1da84171

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8e8afd64b19ef3c92dd16f226ffd8c7dbd9093ad6b4f7d8b0bb0bcd6025fd804",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2011-09-28T09:26:23Z",
    "title_canon_sha256": "091c83aa2337755d72a6478fff87c6c5e9b0d2afcc39753b9997df0daca6832f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1109.6140",
    "kind": "arxiv",
    "version": 5
  }
}