Pith Number

pith:36VZC3PT

pith:1998:36VZC3PTM7VW4CGSIAQRVT7FZJ

not attested not anchored not stored refs pending

Pre-Big-Bang Requires the Universe to be Exponentially Large From the Very Beginning

Andrei Linde, Nemanja Kaloper, Raphael Bousso

arxiv:hep-th/9801073 v3 · 1998-01-13 · hep-th · astro-ph · gr-qc · hep-ph

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{36VZC3PTM7VW4CGSIAQRVT7FZJ}

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	2026-07-04T15:52:12.282945Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

dfab916df367eb6e08d240211acfe5ca513ee9cfd3d8d3c0971a4dc8fd7ed01a

Aliases

arxiv: hep-th/9801073 · arxiv_version: hep-th/9801073v3 · doi: 10.48550/arxiv.hep-th/9801073 · pith_short_12: 36VZC3PTM7VW · pith_short_16: 36VZC3PTM7VW4CGS · pith_short_8: 36VZC3PT

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/36VZC3PTM7VW4CGSIAQRVT7FZJ \
  | 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: dfab916df367eb6e08d240211acfe5ca513ee9cfd3d8d3c0971a4dc8fd7ed01a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "10f9f8dc4af407a2e0315ac52f47aa03d776dfe5a7f3c56e41fa6bd31eb716df",
    "cross_cats_sorted": [
      "astro-ph",
      "gr-qc",
      "hep-ph"
    ],
    "license": "",
    "primary_cat": "hep-th",
    "submitted_at": "1998-01-13T01:19:54Z",
    "title_canon_sha256": "acad1a13f978f74b400ff24b0b7c37ffb72b5bc1b6efa1fd09f70659fec009c3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "hep-th/9801073",
    "kind": "arxiv",
    "version": 3
  }
}