Pith Number

pith:QAQRXP4D

pith:1998:QAQRXP4DR7IYJVQOOHZAKMBGCZ

not attested not anchored not stored refs pending

Repulsive gravity in the very early Universe

M. Gasperini

arxiv:gr-qc/9805060 v1 · 1998-05-15 · gr-qc · astro-ph · 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{QAQRXP4DR7IYJVQOOHZAKMBGCZ}

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	2026-05-18T01:39:18.580204Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

80211bbf838fd184d60e71f205302616745b0b388f9a0be1db1c260ec174e526

Aliases

arxiv: gr-qc/9805060 · arxiv_version: gr-qc/9805060v1 · doi: 10.48550/arxiv.gr-qc/9805060 · pith_short_12: QAQRXP4DR7IY · pith_short_16: QAQRXP4DR7IYJVQO · pith_short_8: QAQRXP4D

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/QAQRXP4DR7IYJVQOOHZAKMBGCZ \
  | 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: 80211bbf838fd184d60e71f205302616745b0b388f9a0be1db1c260ec174e526

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "dc1229cf6496774ef012a6860a5b58ba562c42cc2bf94679818e9abe9010337e",
    "cross_cats_sorted": [
      "astro-ph",
      "hep-th"
    ],
    "license": "",
    "primary_cat": "gr-qc",
    "submitted_at": "1998-05-15T10:02:04Z",
    "title_canon_sha256": "d59fa34a6d2942a0591d6434934e0766fa4d54c01ee2b7db28177187c1569d4e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "gr-qc/9805060",
    "kind": "arxiv",
    "version": 1
  }
}