Pith Number

pith:4XIY6VEY

pith:2014:4XIY6VEYIEDCIKPE7DTE2YWU7L

not attested not anchored not stored refs pending

The positive mass theorem for manifolds with distributional curvature

Dan A. Lee, Philippe G. LeFloch

arxiv:1408.4431 v1 · 2014-08-19 · gr-qc · math.AP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{4XIY6VEYIEDCIKPE7DTE2YWU7L}

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	2026-05-18T02:44:55.482524Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e5d18f549841062429e4f8e64d62d4fae5dee7206ed7b8d63a5404c9c5d3312f

Aliases

arxiv: 1408.4431 · arxiv_version: 1408.4431v1 · doi: 10.48550/arxiv.1408.4431 · pith_short_12: 4XIY6VEYIEDC · pith_short_16: 4XIY6VEYIEDCIKPE · pith_short_8: 4XIY6VEY

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/4XIY6VEYIEDCIKPE7DTE2YWU7L \
  | 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: e5d18f549841062429e4f8e64d62d4fae5dee7206ed7b8d63a5404c9c5d3312f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3f6a5b4650f4c8959db049cf7232a848750c600cf09343febaa42d0661f76e29",
    "cross_cats_sorted": [
      "math.AP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2014-08-19T19:17:53Z",
    "title_canon_sha256": "ca3ab9fc439d94fd2597a3a1a194f0eb595a72608231711a592c6c9ddab9db4e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1408.4431",
    "kind": "arxiv",
    "version": 1
  }
}