Pith Number

pith:CFAVOHF7

pith:2025:CFAVOHF7CUTIPAXZBJB55SPMK2

not attested not anchored not stored refs pending

Spacelike Submanifolds of Codimension Two with Parallel Mean Curvature Vector Field in Lorentz-Minkowski Spacetime Contained in the Light Cone

Alfonso Romero, Francisco J.Palomo

arxiv:2507.22566 v1 · 2025-07-30 · 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{CFAVOHF7CUTIPAXZBJB55SPMK2}

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	2026-07-05T11:45:44.653254Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1141571cbf15268782f90a43dec9ec56950f4d2547f8991f37fd21c3c54fe5d8

Aliases

arxiv: 2507.22566 · arxiv_version: 2507.22566v1 · doi: 10.48550/arxiv.2507.22566 · pith_short_12: CFAVOHF7CUTI · pith_short_16: CFAVOHF7CUTIPAXZ · pith_short_8: CFAVOHF7

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/CFAVOHF7CUTIPAXZBJB55SPMK2 \
  | 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: 1141571cbf15268782f90a43dec9ec56950f4d2547f8991f37fd21c3c54fe5d8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a7f4f04e839cdde6a92de7b321c98c5697caf24b7f267aaf9692e6281afaca69",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2025-07-30T10:47:45Z",
    "title_canon_sha256": "968af8db9ca47caa1d49822fd4219cba1dc6436e9b72c7bc9f53698a452da5e1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2507.22566",
    "kind": "arxiv",
    "version": 1
  }
}