Pith Number

pith:4K3HDPGK

pith:2026:4K3HDPGKH775OMEDJSRJJ4S7VZ

not attested not anchored not stored refs pending

Heavenly equations in de Sitter space

Maciej Dunajski, Timothy Moy

arxiv:2606.14572 v1 · 2026-06-12 · hep-th · gr-qc · math.DG · nlin.SI

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{4K3HDPGKH775OMEDJSRJJ4S7VZ}

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	2026-06-19T16:11:37.323007Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e2b671bcca3fffd730834ca294f25fae61cf0d387cd1eddbf4c61094687c1eb7

Aliases

arxiv: 2606.14572 · arxiv_version: 2606.14572v1 · doi: 10.48550/arxiv.2606.14572 · pith_short_12: 4K3HDPGKH775 · pith_short_16: 4K3HDPGKH775OMED · pith_short_8: 4K3HDPGK

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/4K3HDPGKH775OMEDJSRJJ4S7VZ \
  | 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: e2b671bcca3fffd730834ca294f25fae61cf0d387cd1eddbf4c61094687c1eb7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b947fa4a68abdf0d98502f6d3bea39d44e778b37b8221553afaaa35416718041",
    "cross_cats_sorted": [
      "gr-qc",
      "math.DG",
      "nlin.SI"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2026-06-12T15:50:32Z",
    "title_canon_sha256": "4fbc19a78db5538d56179728ba402e318ba036253ef48afdf9429caf3339d027"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.14572",
    "kind": "arxiv",
    "version": 1
  }
}