Pith Number

pith:3TCJXVIJ

pith:2024:3TCJXVIJTTIYJHYIFWQ5TMJF7O

not attested not anchored not stored refs pending

Overview of the proof of the exterior stability of the $(1+3)$-Minkowski space-time governed by the Einstein-Yang-Mills system in the Lorenz gauge

Sari Ghanem

arxiv:2501.00071 v1 · 2024-12-29 · math.AP · 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{3TCJXVIJTTIYJHYIFWQ5TMJF7O}

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	2026-07-05T09:55:38.637559Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

dcc49bd5099cd1849f082da1d9b125fb8ccad277c4b99655b44bf11ac56a64dd

Aliases

arxiv: 2501.00071 · arxiv_version: 2501.00071v1 · doi: 10.48550/arxiv.2501.00071 · pith_short_12: 3TCJXVIJTTIY · pith_short_16: 3TCJXVIJTTIYJHYI · pith_short_8: 3TCJXVIJ

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/3TCJXVIJTTIYJHYIFWQ5TMJF7O \
  | 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: dcc49bd5099cd1849f082da1d9b125fb8ccad277c4b99655b44bf11ac56a64dd

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8f0b072e96894ac2ff4cf285b90f2eb7653c8fc5609026a12e3f058a6f24f8f6",
    "cross_cats_sorted": [
      "gr-qc",
      "math.DG"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2024-12-29T23:38:46Z",
    "title_canon_sha256": "e5ab9264117ec34f8b0254ef7dbf188d97842e382beb012a36e4f4672338a81d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2501.00071",
    "kind": "arxiv",
    "version": 1
  }
}