Pith Number

pith:DGJ4YMXN

pith:2026:DGJ4YMXNIYDR2TOMEEEV4HMZWK

not attested not anchored not stored refs pending

Schwarzschild black holes from twistor space

Atul Sharma, Bernardo Araneda, Sean Seet, Tim Adamo

arxiv:2607.06236 v1 · 2026-07-07 · hep-th · 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{DGJ4YMXNIYDR2TOMEEEV4HMZWK}

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	2026-07-08T01:19:18.707520Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1993cc32ed46071d4dcc21095e1d99b28e97b9c067aa16ba57eea74504bc3fd2

Aliases

arxiv: 2607.06236 · arxiv_version: 2607.06236v1 · doi: 10.48550/arxiv.2607.06236 · pith_short_12: DGJ4YMXNIYDR · pith_short_16: DGJ4YMXNIYDR2TOM · pith_short_8: DGJ4YMXN

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/DGJ4YMXNIYDR2TOMEEEV4HMZWK \
  | 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: 1993cc32ed46071d4dcc21095e1d99b28e97b9c067aa16ba57eea74504bc3fd2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "140c4eb7ef723b48f5a7d3b890d9cb4539047ccac0f1a1f96fa2bad4712dc10e",
    "cross_cats_sorted": [
      "gr-qc",
      "math.DG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2026-07-07T13:05:53Z",
    "title_canon_sha256": "6848c1d8f01904feb61ed15a32a934d78c7cc81497ac053eb45c0f84900542e3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.06236",
    "kind": "arxiv",
    "version": 1
  }
}