Pith Number

pith:TKQPT6XI

pith:2015:TKQPT6XIYXPMQPQPDSF6T2DIY7

not attested not anchored not stored refs pending

A note on the causal homotopy classes of a globally hyperbolic spacetime

Miguel S\'anchez, Pablo Morales \'Alvarez

arxiv:1505.02376 v2 · 2015-05-10 · math.DG · gr-qc · 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{TKQPT6XIYXPMQPQPDSF6T2DIY7}

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	2026-05-18T01:33:32.113490Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9aa0f9fae8c5dec83e0f1c8be9e868c7e7ea5b594663709860aa57ee6f8beeaa

Aliases

arxiv: 1505.02376 · arxiv_version: 1505.02376v2 · doi: 10.48550/arxiv.1505.02376 · pith_short_12: TKQPT6XIYXPM · pith_short_16: TKQPT6XIYXPMQPQP · pith_short_8: TKQPT6XI

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/TKQPT6XIYXPMQPQPDSF6T2DIY7 \
  | 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: 9aa0f9fae8c5dec83e0f1c8be9e868c7e7ea5b594663709860aa57ee6f8beeaa

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "95ccb8078c4707ee5ef11fdb9ba03eaa7dcdc3226ee38c297868ac49b85733df",
    "cross_cats_sorted": [
      "gr-qc",
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2015-05-10T12:55:22Z",
    "title_canon_sha256": "bc012ff0c66a487d4d62e575a105eed31289a4811be5bb7943b95817a5cce5c6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1505.02376",
    "kind": "arxiv",
    "version": 2
  }
}