Pith Number

pith:U7MD7G22

pith:2016:U7MD7G22VZBYG5BWW4QUTWYKHK

not attested not anchored not stored refs pending

Hausdorff closed limits and rigidity in Lorentzian geometry

Carlos Vega, Gregory J. Galloway

arxiv:1608.06353 v1 · 2016-08-23 · 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{U7MD7G22VZBYG5BWW4QUTWYKHK}

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	2026-05-18T00:20:07.456508Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a7d83f9b5aae43837436b72149db0a3aa7532cbc48beb28de30a6dd9fca871a4

Aliases

arxiv: 1608.06353 · arxiv_version: 1608.06353v1 · doi: 10.48550/arxiv.1608.06353 · pith_short_12: U7MD7G22VZBY · pith_short_16: U7MD7G22VZBYG5BW · pith_short_8: U7MD7G22

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/U7MD7G22VZBYG5BWW4QUTWYKHK \
  | 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: a7d83f9b5aae43837436b72149db0a3aa7532cbc48beb28de30a6dd9fca871a4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a88073059ab71ac06ff3a3d962c93f5642ce759100921580f32ea8ba22765f6b",
    "cross_cats_sorted": [
      "math.DG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2016-08-23T01:28:19Z",
    "title_canon_sha256": "81159d399e2b0a552ef0a1a35f50ba2b9c5deeec9211bb013153b1ff8d84c2af"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1608.06353",
    "kind": "arxiv",
    "version": 1
  }
}