Pith Number

pith:MPB2BB4L

pith:2013:MPB2BB4LT75HOU3GBRROBFGAEU

not attested not anchored not stored refs pending

Time flat surfaces and the monotonicity of the spacetime Hawking mass

Hubert L. Bray, Jeffrey L. Jauregui

arxiv:1310.8638 v2 · 2013-10-31 · math.DG · 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{MPB2BB4LT75HOU3GBRROBFGAEU}

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	2026-05-18T01:13:31.285957Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

63c3a0878b9ffa7753660c62e094c0250bee24ada53df0994054ea2a9af36e6b

Aliases

arxiv: 1310.8638 · arxiv_version: 1310.8638v2 · doi: 10.48550/arxiv.1310.8638 · pith_short_12: MPB2BB4LT75H · pith_short_16: MPB2BB4LT75HOU3G · pith_short_8: MPB2BB4L

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/MPB2BB4LT75HOU3GBRROBFGAEU \
  | 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: 63c3a0878b9ffa7753660c62e094c0250bee24ada53df0994054ea2a9af36e6b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4b0c553213abed52dd3ed8fef629a637f43ebdac16b621cad26428573e98eea2",
    "cross_cats_sorted": [
      "gr-qc"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2013-10-31T18:56:43Z",
    "title_canon_sha256": "1ac2464b9e1c1aa6f629ad7f2fa397ae2868fbb091647709a21553e86af55dc1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1310.8638",
    "kind": "arxiv",
    "version": 2
  }
}