Pith Number

pith:72V2KIE5

pith:2009:72V2KIE5ATJN5SPQSOYCSJQWQA

not attested not anchored not stored refs pending

Singularities of spacelike constant mean curvature surfaces in Lorentz-Minkowski space

David Brander

arxiv:0912.5081 v2 · 2009-12-30 · math.DG · math-ph · math.MP

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{72V2KIE5ATJN5SPQSOYCSJQWQA}

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	2026-05-18T04:25:26.068772Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

feaba5209d04d2dec9f093b0292616801e35d6c058bda1f51152263445e2738b

Aliases

arxiv: 0912.5081 · arxiv_version: 0912.5081v2 · doi: 10.48550/arxiv.0912.5081 · pith_short_12: 72V2KIE5ATJN · pith_short_16: 72V2KIE5ATJN5SPQ · pith_short_8: 72V2KIE5

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/72V2KIE5ATJN5SPQSOYCSJQWQA \
  | 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: feaba5209d04d2dec9f093b0292616801e35d6c058bda1f51152263445e2738b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "23595f6a310f3d4a97809a3b129dacce2f53aaff414f27a3cde5e6e55eefdbd8",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2009-12-30T05:18:48Z",
    "title_canon_sha256": "c9376b2badbb315e8ef3bb8c1186afb3a6078f5c967bae1625e3ad8c264d906a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0912.5081",
    "kind": "arxiv",
    "version": 2
  }
}