Pith Number

pith:23HTB4VS

pith:2026:23HTB4VSHU27GIDD4PID467IUH

not attested not anchored not stored refs pending

Positive resolution of Bartnik's cosmological splitting conjecture

Argam Ohanyan, Robert J. McCann

arxiv:2606.03873 v1 · 2026-06-02 · math.DG · gr-qc · math-ph · math.AP · 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{23HTB4VSHU27GIDD4PID467IUH}

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	2026-06-03T02:06:04.949105Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d6cf30f2b23d35f32063e3d03e7be8a1ee471f4f663d548f3aacaecee7af292d

Aliases

arxiv: 2606.03873 · arxiv_version: 2606.03873v1 · doi: 10.48550/arxiv.2606.03873 · pith_short_12: 23HTB4VSHU27 · pith_short_16: 23HTB4VSHU27GIDD · pith_short_8: 23HTB4VS

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/23HTB4VSHU27GIDD4PID467IUH \
  | 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: d6cf30f2b23d35f32063e3d03e7be8a1ee471f4f663d548f3aacaecee7af292d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0e38602dd8039b121b4870c75ed33dee8f80f24a0868baf136dfe1af34ea04f7",
    "cross_cats_sorted": [
      "gr-qc",
      "math-ph",
      "math.AP",
      "math.MP"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2026-06-02T16:42:38Z",
    "title_canon_sha256": "1754839302cc24e854ff059a0b6212649aff38efda05e75bb855bd3d8690d09d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.03873",
    "kind": "arxiv",
    "version": 1
  }
}