Pith Number

pith:VZAC7PA3

pith:2021:VZAC7PA3YGFIBYCNSPAWWHJVNT

not attested not anchored not stored refs pending

Probing spatial orientability of Friedmann--Robertson--Walker spatially flat spacetime

D. M\"uller, M.J. Reboucas, N.A. Lemos

arxiv:2110.07675 v2 · 2021-10-14 · gr-qc · astro-ph.CO · hep-th

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{VZAC7PA3YGFIBYCNSPAWWHJVNT}

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	2026-07-05T04:48:37.020897Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ae402fbc1bc18a80e04d93c16b1d356cdcde7fc9e1382eddc3e7043b195d1ef4

Aliases

arxiv: 2110.07675 · arxiv_version: 2110.07675v2 · doi: 10.48550/arxiv.2110.07675 · pith_short_12: VZAC7PA3YGFI · pith_short_16: VZAC7PA3YGFIBYCN · pith_short_8: VZAC7PA3

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/VZAC7PA3YGFIBYCNSPAWWHJVNT \
  | 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: ae402fbc1bc18a80e04d93c16b1d356cdcde7fc9e1382eddc3e7043b195d1ef4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3ee714124dc3d771d22bf037a0dc17c0cccf607a78c2ad9b741f14a565e4c54e",
    "cross_cats_sorted": [
      "astro-ph.CO",
      "hep-th"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2021-10-14T19:17:23Z",
    "title_canon_sha256": "31452e0566506dfa5a86b34e4edf77c3b8f9301607f78420bb03165bfa82243c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2110.07675",
    "kind": "arxiv",
    "version": 2
  }
}