Pith Number

pith:4L6HPVJA

pith:2006:4L6HPVJA4EVRU4EP5SCOIECB3A

not attested not anchored not stored refs pending

An Invitation to Lorentzian Geometry

Miguel S\'anchez, Olaf M\"uller

arxiv:math/0604265 v2 · 2006-04-12 · math.DG · gr-qc

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{4L6HPVJA4EVRU4EP5SCOIECB3A}

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	2026-05-18T03:01:36.334667Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e2fc77d520e12b1a708fec84e41041d83880b8e6935b5252ecc143fa3c0dcb2e

Aliases

arxiv: math/0604265 · arxiv_version: math/0604265v2 · doi: 10.48550/arxiv.math/0604265 · pith_short_12: 4L6HPVJA4EVR · pith_short_16: 4L6HPVJA4EVRU4EP · pith_short_8: 4L6HPVJA

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/4L6HPVJA4EVRU4EP5SCOIECB3A \
  | 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: e2fc77d520e12b1a708fec84e41041d83880b8e6935b5252ecc143fa3c0dcb2e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "89d4655ddac11abb4fcaff7c3b52cd0c4fd855c6ab20ace24e00cc79e3d6642b",
    "cross_cats_sorted": [
      "gr-qc"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2006-04-12T01:23:25Z",
    "title_canon_sha256": "a523219671cf963e91bd1e55ff8fd5ce8639ba63d61cf854095efc9f80b9c87e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0604265",
    "kind": "arxiv",
    "version": 2
  }
}