Pith Number

pith:5KKHAEAO

pith:2008:5KKHAEAO7AMRLUWIBTTSKIB2EB

not attested not anchored not stored refs pending

Differential Geometry of Curves and Surfaces in Lorentz-Minkowski space

Rafael L\'opez

arxiv:0810.3351 v2 · 2008-10-18 · 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{5KKHAEAO7AMRLUWIBTTSKIB2EB}

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	2026-05-18T01:21:41.005310Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ea9470100ef81915d2c80ce725203a204a12818c82bf5f3b988520054d558795

Aliases

arxiv: 0810.3351 · arxiv_version: 0810.3351v2 · doi: 10.48550/arxiv.0810.3351 · pith_short_12: 5KKHAEAO7AMR · pith_short_16: 5KKHAEAO7AMRLUWI · pith_short_8: 5KKHAEAO

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/5KKHAEAO7AMRLUWIBTTSKIB2EB \
  | 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: ea9470100ef81915d2c80ce725203a204a12818c82bf5f3b988520054d558795

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "24b6c05d1b1fb9d193a712604b553c0e52b10687c23f055ce2209b76b0be4343",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2008-10-18T21:54:47Z",
    "title_canon_sha256": "f203825552d3bf014b1e40138b3c503b2a5ab39c9e944a894e2f669cea0d2156"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0810.3351",
    "kind": "arxiv",
    "version": 2
  }
}