Pith Number

pith:GXD4XJQ6

pith:2013:GXD4XJQ6S7TIFGAFI4BADL4WQD

not attested not anchored not stored refs pending

Geodesic completeness of generalized space-times

Clemens S\"amann, Roland Steinbauer

arxiv:1310.2362 v3 · 2013-10-09 · math.DG · gr-qc · math.FA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{GXD4XJQ6S7TIFGAFI4BADL4WQD}

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	2026-05-18T02:28:29.318593Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

35c7cba61e97e6829805470201af9680f1c15bc2b0952c47ee636294e16fe27c

Aliases

arxiv: 1310.2362 · arxiv_version: 1310.2362v3 · doi: 10.48550/arxiv.1310.2362 · pith_short_12: GXD4XJQ6S7TI · pith_short_16: GXD4XJQ6S7TIFGAF · pith_short_8: GXD4XJQ6

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/GXD4XJQ6S7TIFGAFI4BADL4WQD \
  | 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: 35c7cba61e97e6829805470201af9680f1c15bc2b0952c47ee636294e16fe27c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "307c895c56126b41e6716a3bfa00fc170315fc78340fcd0ee858139fa24362b2",
    "cross_cats_sorted": [
      "gr-qc",
      "math.FA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2013-10-09T06:05:03Z",
    "title_canon_sha256": "23d65bdfad6720a4e0cb29af42d63d42a4411fe7f154652114c450ae791dff96"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1310.2362",
    "kind": "arxiv",
    "version": 3
  }
}