Pith Number

pith:I7GVHOFC

pith:2017:I7GVHOFCXU76CFZJNOTEDA5W3P

not attested not anchored not stored refs pending

Totally umbilic null hypersurfaces in generalized Robertson-Walker spaces

Benjam\'in Olea, Manuel Guti\'errez

arxiv:1707.09844 v1 · 2017-07-31 · 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{I7GVHOFCXU76CFZJNOTEDA5W3P}

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	2026-05-18T00:39:08.065737Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

47cd53b8a2bd3fe117296ba64183b6dbecc7d62b08e0ed07d7997f3f70c8cc3a

Aliases

arxiv: 1707.09844 · arxiv_version: 1707.09844v1 · doi: 10.48550/arxiv.1707.09844 · pith_short_12: I7GVHOFCXU76 · pith_short_16: I7GVHOFCXU76CFZJ · pith_short_8: I7GVHOFC

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/I7GVHOFCXU76CFZJNOTEDA5W3P \
  | 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: 47cd53b8a2bd3fe117296ba64183b6dbecc7d62b08e0ed07d7997f3f70c8cc3a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "62ec99563bcd132aa9ab62330be2673b4f05e68eb8270a206ce24bb765fb48b4",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2017-07-31T13:38:51Z",
    "title_canon_sha256": "0e2c7c24043f251f094134d9ea9ff7612e39321c57b80fd3fafc012a7918ddb8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1707.09844",
    "kind": "arxiv",
    "version": 1
  }
}