Pith Number

pith:35PIFRQG

pith:2001:35PIFRQG3T57NKWNDEY3BACC5H

not attested not anchored not stored refs pending

Detectability of Cosmic Topology in Almost Flat Universes

G.I. Gomero, M.J. Reboucas, R. Tavakol

arxiv:gr-qc/0105002 v3 · 2001-05-02 · gr-qc · astro-ph · hep-th · 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{35PIFRQG3T57NKWNDEY3BACC5H}

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	2026-05-18T02:37:36.058120Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

df5e82c606dcfbf6aacd1931b08042e9e55b38736f0d5d485fd7cd2636ac0255

Aliases

arxiv: gr-qc/0105002 · arxiv_version: gr-qc/0105002v3 · doi: 10.48550/arxiv.gr-qc/0105002 · pith_short_12: 35PIFRQG3T57 · pith_short_16: 35PIFRQG3T57NKWN · pith_short_8: 35PIFRQG

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/35PIFRQG3T57NKWNDEY3BACC5H \
  | 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: df5e82c606dcfbf6aacd1931b08042e9e55b38736f0d5d485fd7cd2636ac0255

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "613f3cb48b7226cbd361009d3e4be31fca548edc7c64630c485a7d7f248a1fa7",
    "cross_cats_sorted": [
      "astro-ph",
      "hep-th",
      "math-ph",
      "math.MP"
    ],
    "license": "",
    "primary_cat": "gr-qc",
    "submitted_at": "2001-05-02T00:49:39Z",
    "title_canon_sha256": "b42edfb1c1a5393217397f9de7fe0cb81f2849e5cabf44791d2237a908b1c201"
  },
  "schema_version": "1.0",
  "source": {
    "id": "gr-qc/0105002",
    "kind": "arxiv",
    "version": 3
  }
}