Pith Number

pith:3GRMUICJ

pith:2019:3GRMUICJK2HRZQB3BESEF2K4QF

not attested not anchored not stored refs pending

Null Foliations of Spacetime and the Geometry of Black Hole Horizons

Albert Huber

arxiv:1908.08739 v1 · 2019-08-23 · 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{3GRMUICJK2HRZQB3BESEF2K4QF}

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	2026-07-04T23:59:23.735224Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d9a2ca2049568f1cc03b092442e95c8163f9d2a0c2b276f84d69938e76335282

Aliases

arxiv: 1908.08739 · arxiv_version: 1908.08739v1 · doi: 10.48550/arxiv.1908.08739 · pith_short_12: 3GRMUICJK2HR · pith_short_16: 3GRMUICJK2HRZQB3 · pith_short_8: 3GRMUICJ

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/3GRMUICJK2HRZQB3BESEF2K4QF \
  | 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: d9a2ca2049568f1cc03b092442e95c8163f9d2a0c2b276f84d69938e76335282

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f75c5dfb1749c7cc9b9811e212f502250480cb7a3a6a348d44a94fe8c509414e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2019-08-23T09:48:39Z",
    "title_canon_sha256": "e9fb18af0dc30750754353ef4094fa9cdda5541bae099c7f1487cfb6b43ae5ad"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1908.08739",
    "kind": "arxiv",
    "version": 1
  }
}