Pith Number

pith:NFH3IDFX

pith:2015:NFH3IDFXFUJJ2ISYFSJJK3S2SP

not attested not anchored not stored refs pending

Pseudo-Riemannian Submanifolds with 3-Planar Geodesics

Bet\"ul Bulca, G\"unay \"Ozt\"urk, Kadri Arslan

arxiv:1505.04176 v1 · 2015-04-16 · 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{NFH3IDFXFUJJ2ISYFSJJK3S2SP}

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	2026-05-18T02:09:39.843664Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

694fb40cb72d129d22582c92956e5a93d9b7922d4f6501e19d5d56e88cd66d16

Aliases

arxiv: 1505.04176 · arxiv_version: 1505.04176v1 · doi: 10.48550/arxiv.1505.04176 · pith_short_12: NFH3IDFXFUJJ · pith_short_16: NFH3IDFXFUJJ2ISY · pith_short_8: NFH3IDFX

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/NFH3IDFXFUJJ2ISYFSJJK3S2SP \
  | 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: 694fb40cb72d129d22582c92956e5a93d9b7922d4f6501e19d5d56e88cd66d16

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e8ade6965eb336a033d848efe5a9c1fa3d1ccd678c604b0b3838b41a6506600a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2015-04-16T10:52:46Z",
    "title_canon_sha256": "191575a144146ed34414db761e648e37daab0d2f992c7401082fb83e3eb4dff7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1505.04176",
    "kind": "arxiv",
    "version": 1
  }
}