Pith Number

pith:N7IQHMMU

pith:2025:N7IQHMMUU57LBAE4NHOW27XZUD

not attested not anchored not stored refs pending

Canonical Reductive Decomposition of Extrinsic Homogeneous Submanifolds

Jos\'e Luis Carmona Jim\'enez, Marco Castrill\'on L\'opez

arxiv:2506.05580 v1 · 2025-06-05 · 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{N7IQHMMUU57LBAE4NHOW27XZUD}

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	2026-07-05T11:17:06.213002Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6fd103b194a77eb0809c69dd6d7ef9a0dd0cff531d9c8407c33874c035bc2d09

Aliases

arxiv: 2506.05580 · arxiv_version: 2506.05580v1 · doi: 10.48550/arxiv.2506.05580 · pith_short_12: N7IQHMMUU57L · pith_short_16: N7IQHMMUU57LBAE4 · pith_short_8: N7IQHMMU

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/N7IQHMMUU57LBAE4NHOW27XZUD \
  | 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: 6fd103b194a77eb0809c69dd6d7ef9a0dd0cff531d9c8407c33874c035bc2d09

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8b6e99df3e285fc7f4565d334e8f2a8b78a4e04be53aeef44d9379dfff4f9428",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2025-06-05T20:55:49Z",
    "title_canon_sha256": "5a0f6ed0f531de2a80b16e2125d931113098855101bb2923a22f2bcb2c68eaad"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2506.05580",
    "kind": "arxiv",
    "version": 1
  }
}