Pith Number

pith:E3MLPHLL

pith:2026:E3MLPHLLOOQLXAM7XA7RLXJ64G

not attested not anchored not stored refs pending

The free boundary problem in general relativity

Kostas Tzanavaris, Latham Boyle, Neil Turok

arxiv:2606.18128 v1 · 2026-06-16 · gr-qc · astro-ph.CO · hep-th · math-ph · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{E3MLPHLLOOQLXAM7XA7RLXJ64G}

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	2026-06-19T16:10:49.077710Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

26d8b79d6b73a0bb819fb83f15dd3ee19e5c50d332a35fe1533352f292e0cf55

Aliases

arxiv: 2606.18128 · arxiv_version: 2606.18128v1 · doi: 10.48550/arxiv.2606.18128 · pith_short_12: E3MLPHLLOOQL · pith_short_16: E3MLPHLLOOQLXAM7 · pith_short_8: E3MLPHLL

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/E3MLPHLLOOQLXAM7XA7RLXJ64G \
  | 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: 26d8b79d6b73a0bb819fb83f15dd3ee19e5c50d332a35fe1533352f292e0cf55

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "46143ad207fe876d3d60cf9e3c3feadb6bc3142615ecc2ba5b2ba39084250a6a",
    "cross_cats_sorted": [
      "astro-ph.CO",
      "hep-th",
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2026-06-16T16:25:59Z",
    "title_canon_sha256": "2ece222b8dd49ca4c6a08291f25b5b191524c994f87b702fe17820a3b3acfb75"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.18128",
    "kind": "arxiv",
    "version": 1
  }
}