Pith Number

pith:J4YCIKUQ

pith:2015:J4YCIKUQXUQZSPJ2VQMAYJYSUQ

not attested not anchored not stored refs pending

On the Theory of Lorentz Surfaces with Parallel Normalized Mean Curvature Vector Field in Pseudo-Euclidean 4-Space

Georgi Ganchev, Velichka Milousheva, Yana Aleksieva

arxiv:1506.06242 v1 · 2015-06-20 · 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{J4YCIKUQXUQZSPJ2VQMAYJYSUQ}

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	2026-05-18T00:45:35.303441Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4f30242a90bd21993d3aac180c2712a4377b0ad33f9e4a656c45d84949fcecb8

Aliases

arxiv: 1506.06242 · arxiv_version: 1506.06242v1 · doi: 10.48550/arxiv.1506.06242 · pith_short_12: J4YCIKUQXUQZ · pith_short_16: J4YCIKUQXUQZSPJ2 · pith_short_8: J4YCIKUQ

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/J4YCIKUQXUQZSPJ2VQMAYJYSUQ \
  | 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: 4f30242a90bd21993d3aac180c2712a4377b0ad33f9e4a656c45d84949fcecb8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7ddf416355f55e0ef737fa0b30dfb3add1ba3d0043958399349161e6a92a0bc4",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2015-06-20T14:07:52Z",
    "title_canon_sha256": "8cc2afc186483ec6129f70d690b22979654295589db309f04a5c14e986b057ff"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1506.06242",
    "kind": "arxiv",
    "version": 1
  }
}