Pith Number

pith:5GKFWLCV

pith:2019:5GKFWLCVPXB2VZHDRYSUQG4JYI

not attested not anchored not stored refs pending

Principal configurations around umbilics of spacelike surfaces in null hypersurfaces of $\mathbb{R}_1^4$

Didier A. Solis, Matias Navarro, Oscar Palmas

arxiv:1907.04465 v1 · 2019-07-10 · 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{5GKFWLCVPXB2VZHDRYSUQG4JYI}

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	2026-05-17T23:41:00.217665Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e9945b2c557dc3aae4e38e25481b89c23beb916ff811bff17037b1df0d7e7816

Aliases

arxiv: 1907.04465 · arxiv_version: 1907.04465v1 · doi: 10.48550/arxiv.1907.04465 · pith_short_12: 5GKFWLCVPXB2 · pith_short_16: 5GKFWLCVPXB2VZHD · pith_short_8: 5GKFWLCV

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/5GKFWLCVPXB2VZHDRYSUQG4JYI \
  | 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: e9945b2c557dc3aae4e38e25481b89c23beb916ff811bff17037b1df0d7e7816

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "27c05a776fe252906cd12765e5eca384f62632a87d36ec063d5e334fd7b9be35",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2019-07-10T00:17:27Z",
    "title_canon_sha256": "cae36e8bce1199420617bcab909fd3796c3a913afb0fc6e3704ac75f3de57795"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1907.04465",
    "kind": "arxiv",
    "version": 1
  }
}