Pith Number

pith:D5U7CFMO

pith:2025:D5U7CFMO6GAHZKPHEGYK6RSWUN

not attested not anchored not stored refs pending

On the local existence for the characteristic initial value problem for the Einstein-Dirac system

Peng Zhao, Xiaoning Wu

arxiv:2509.04167 v1 · 2025-09-04 · math.AP · gr-qc

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{D5U7CFMO6GAHZKPHEGYK6RSWUN}

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	2026-07-05T12:04:54.607550Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1f69f1158ef1807ca9e721b0af4656a343b26db498771117c3a8adaa1d8edfe1

Aliases

arxiv: 2509.04167 · arxiv_version: 2509.04167v1 · doi: 10.48550/arxiv.2509.04167 · pith_short_12: D5U7CFMO6GAH · pith_short_16: D5U7CFMO6GAHZKPH · pith_short_8: D5U7CFMO

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/D5U7CFMO6GAHZKPHEGYK6RSWUN \
  | 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: 1f69f1158ef1807ca9e721b0af4656a343b26db498771117c3a8adaa1d8edfe1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "db41ea3a7826743185c9dcfcb3ad6a018d3ffaa5f4db8fcf6aa53dda5ea160dc",
    "cross_cats_sorted": [
      "gr-qc"
    ],
    "license": "http://creativecommons.org/publicdomain/zero/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2025-09-04T12:41:48Z",
    "title_canon_sha256": "a8efd1e2b5c0b7782a884ed5ef4691d96e12afd226bc47509b64758d57d91066"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2509.04167",
    "kind": "arxiv",
    "version": 1
  }
}