Pith Number

pith:GCH7YDOJ

pith:2025:GCH7YDOJYUHPKSVHPB337NH4JA

not attested not anchored not stored refs pending

Codimension-Two Spacelike Submanifolds with Umbilical Lightlike Normal Sections and Their Relationship to Lightlike Hypersurfaces

Juan S. G\'omez

arxiv:2506.07934 v3 · 2025-06-09 · 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{GCH7YDOJYUHPKSVHPB337NH4JA}

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	2026-07-05T11:26:52.543018Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

308ffc0dc9c50ef54aa77877bfb4fc4833307ec249b79b6bdfa056ae5f7634e5

Aliases

arxiv: 2506.07934 · arxiv_version: 2506.07934v3 · doi: 10.48550/arxiv.2506.07934 · pith_short_12: GCH7YDOJYUHP · pith_short_16: GCH7YDOJYUHPKSVH · pith_short_8: GCH7YDOJ

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/GCH7YDOJYUHPKSVHPB337NH4JA \
  | 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: 308ffc0dc9c50ef54aa77877bfb4fc4833307ec249b79b6bdfa056ae5f7634e5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4725c80e747ed99d2286e44b8c946a764ea37017cc810e8937ae2a48b6b6541c",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2025-06-09T16:54:34Z",
    "title_canon_sha256": "e4dec9f8ea6c3b1aee613997277e34bed057b3cd5cace05930305f6ba055e109"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2506.07934",
    "kind": "arxiv",
    "version": 3
  }
}