Pith Number

pith:QB5M2UPO

pith:2009:QB5M2UPOCWPWWAH7J4WUNVU5OK

not attested not anchored not stored refs pending

New positive small vacuum region gravitational energy expressions

James M. Nester, Lau Loi So

arxiv:0901.2400 v1 · 2009-01-16 · 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{QB5M2UPOCWPWWAH7J4WUNVU5OK}

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	2026-07-04T17:26:16.205958Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

807acd51ee159f6b00ff4f2d46d69d72b380512dab0794badf81379f48325c24

Aliases

arxiv: 0901.2400 · arxiv_version: 0901.2400v1 · doi: 10.48550/arxiv.0901.2400 · pith_short_12: QB5M2UPOCWPW · pith_short_16: QB5M2UPOCWPWWAH7 · pith_short_8: QB5M2UPO

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/QB5M2UPOCWPWWAH7J4WUNVU5OK \
  | 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: 807acd51ee159f6b00ff4f2d46d69d72b380512dab0794badf81379f48325c24

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "17fc0a3fd9dcad274173d18efb4fb0bd14ede96ab9cb48dcad68839ae9bb4019",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2009-01-16T06:15:31Z",
    "title_canon_sha256": "b40f43a095e462a3844a4c3f0173283997d7950226512098e2c41d8c82516378"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0901.2400",
    "kind": "arxiv",
    "version": 1
  }
}