Pith Number

pith:FFES24XJ

pith:2026:FFES24XJ6CWI73NK6VQDGP43JR

not attested not anchored not stored refs pending

Spacetime Bartnik Mass Positivity and Temporal Monotonicity for Black Holes

Lars Andersson, Marc Mars, Marcus Khuri, Walter Simon

arxiv:2606.07781 v1 · 2026-06-05 · gr-qc · math-ph · math.DG · 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{FFES24XJ6CWI73NK6VQDGP43JR}

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	2026-06-09T01:04:52.087634Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

29492d72e9f0ac8fedaaf560333f9b4c4db351ea99b9e2a9b403e485a9b79c44

Aliases

arxiv: 2606.07781 · arxiv_version: 2606.07781v1 · doi: 10.48550/arxiv.2606.07781 · pith_short_12: FFES24XJ6CWI · pith_short_16: FFES24XJ6CWI73NK · pith_short_8: FFES24XJ

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/FFES24XJ6CWI73NK6VQDGP43JR \
  | 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: 29492d72e9f0ac8fedaaf560333f9b4c4db351ea99b9e2a9b403e485a9b79c44

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "43204c1d91e7a0bcc0eaf0b0166de06629e7c19b69abe7968b79db1fdbe74ea9",
    "cross_cats_sorted": [
      "math-ph",
      "math.DG",
      "math.MP"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2026-06-05T18:49:33Z",
    "title_canon_sha256": "9979d5830cb728c24d792c7443f63d59a243b6ba0e2e01aa9c771d7a3f093415"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.07781",
    "kind": "arxiv",
    "version": 1
  }
}