Pith Number

pith:Z2W742VF

pith:2026:Z2W742VFXBFCTBEIW6W2SGIFD7

not attested not anchored not stored refs pending

Complex spinorial forms, Brinkmann four-manifolds, and self-dual bundle gerbes

Alejandro Gil-Garc\'ia, C. S. Shahbazi

arxiv:2605.22798 v1 · 2026-05-21 · math.DG · math-ph · 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{Z2W742VFXBFCTBEIW6W2SGIFD7}

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	2026-05-22T02:04:55.329001Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ceadfe6aa5b84a298488b7ada919051fc81c1d182306c59c3b653677f4b46ab5

Aliases

arxiv: 2605.22798 · arxiv_version: 2605.22798v1 · doi: 10.48550/arxiv.2605.22798 · pith_short_12: Z2W742VFXBFC · pith_short_16: Z2W742VFXBFCTBEI · pith_short_8: Z2W742VF

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/Z2W742VFXBFCTBEIW6W2SGIFD7 \
  | 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: ceadfe6aa5b84a298488b7ada919051fc81c1d182306c59c3b653677f4b46ab5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8b9b4b64a5f218eddc2efedfc5d4de8c936b691c481a1f673b27c053bc24eb78",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2026-05-21T17:51:25Z",
    "title_canon_sha256": "0fa65672ca67e3c79ce2f14f96c2bc6e8115616fe58539000268c8a0086f8ccc"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2605.22798",
    "kind": "arxiv",
    "version": 1
  }
}