Pith Number

pith:MJXZCSDY

pith:2025:MJXZCSDYZMY5W7MO75JNVJE4DB

not attested not anchored not stored refs pending

Global solutions to cubic Dirac and Dirac-Klein-Gordon systems on spacetimes close to the Minkowski space

Seokchang Hong

arxiv:2508.00122 v2 · 2025-07-31 · math.AP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{MJXZCSDYZMY5W7MO75JNVJE4DB}

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	2026-07-05T11:58:33.909347Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

626f914878cb31db7d8eff52daa49c1861c085657f6746516f38e767b3d071bc

Aliases

arxiv: 2508.00122 · arxiv_version: 2508.00122v2 · doi: 10.48550/arxiv.2508.00122 · pith_short_12: MJXZCSDYZMY5 · pith_short_16: MJXZCSDYZMY5W7MO · pith_short_8: MJXZCSDY

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/MJXZCSDYZMY5W7MO75JNVJE4DB \
  | 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: 626f914878cb31db7d8eff52daa49c1861c085657f6746516f38e767b3d071bc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d59f3914d7b68dc0a7cbb26dd233f15c3f2b2a6f320103e253e3692b42bb2b70",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2025-07-31T19:23:42Z",
    "title_canon_sha256": "9fc66dda000f26909f823d1f38ef6dc8a345b6b3db304ca99be844fd7d4e5d31"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2508.00122",
    "kind": "arxiv",
    "version": 2
  }
}