Pith Number

pith:DC3J2W5K

pith:2008:DC3J2W5KMVM3LKXET5MLUWKFXQ

not attested not anchored not stored refs pending

Local foliations and optimal regularity of Einstein spacetimes

Bing-Long Chen, Philippe G. LeFloch

arxiv:0812.5053 v1 · 2008-12-30 · gr-qc · 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{DC3J2W5KMVM3LKXET5MLUWKFXQ}

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	2026-05-18T02:15:03.640274Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

18b69d5baa6559b5aae49f58ba5945bc20e3ebb60916e343e45b605854395ee2

Aliases

arxiv: 0812.5053 · arxiv_version: 0812.5053v1 · doi: 10.48550/arxiv.0812.5053 · pith_short_12: DC3J2W5KMVM3 · pith_short_16: DC3J2W5KMVM3LKXE · pith_short_8: DC3J2W5K

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/DC3J2W5KMVM3LKXET5MLUWKFXQ \
  | 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: 18b69d5baa6559b5aae49f58ba5945bc20e3ebb60916e343e45b605854395ee2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "028e1995e791ced53e1c9ad2d457cf7ac12be024d487d5dfdb194984214b6538",
    "cross_cats_sorted": [
      "math.DG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2008-12-30T11:48:22Z",
    "title_canon_sha256": "0e3a5e9b7ce1bc2421950f1004d122349a26c1ddc74922e310ed733ba42c1ce9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0812.5053",
    "kind": "arxiv",
    "version": 1
  }
}