Pith Number

pith:7LMH2CMN

pith:2010:7LMH2CMNCG63NQ2WRJLYTQR3QS

not attested not anchored not stored refs pending

An Invariant Theory of Spacelike Surfaces in the Four-dimensional Minkowski Space

Georgi Ganchev, Velichka Milousheva

arxiv:1011.4379 v1 · 2010-11-19 · 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{7LMH2CMNCG63NQ2WRJLYTQR3QS}

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	2026-05-18T03:54:48.040260Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fad87d098d11bdb6c3568a5789c23b848ebb92adcce4fcf7d3cf37d88a3fbf17

Aliases

arxiv: 1011.4379 · arxiv_version: 1011.4379v1 · doi: 10.48550/arxiv.1011.4379 · pith_short_12: 7LMH2CMNCG63 · pith_short_16: 7LMH2CMNCG63NQ2W · pith_short_8: 7LMH2CMN

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/7LMH2CMNCG63NQ2WRJLYTQR3QS \
  | 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: fad87d098d11bdb6c3568a5789c23b848ebb92adcce4fcf7d3cf37d88a3fbf17

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "713ecf9057ceb5b257457614dc416ba4ec330d5c8e9fb2dc954511c74f1c5aac",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2010-11-19T10:08:24Z",
    "title_canon_sha256": "b0be52bb12bc3427c1f28fabdcae669f4be99ffd70d7a6a4b426063e22e055e9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1011.4379",
    "kind": "arxiv",
    "version": 1
  }
}