Pith Number

pith:KRBZUSKB

pith:2002:KRBZUSKBYLGRNLTG7XEXBRVONH

not attested not anchored not stored refs pending

Particle creation in a tunneling universe

A. Vilenkin, J. Hong, S. Winitzki

arxiv:gr-qc/0210034 v1 · 2002-10-10 · 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{KRBZUSKBYLGRNLTG7XEXBRVONH}

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.

Cited by

1 paper in Pith

On quantum creation of a toroidal universe

Receipt and verification

First computed	2026-07-04T16:33:47.372075Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

54439a4941c2cd16ae66fdc970c6ae69ef5f19db55e21602d1d0b7f75021081f

Aliases

arxiv: gr-qc/0210034 · arxiv_version: gr-qc/0210034v1 · doi: 10.48550/arxiv.gr-qc/0210034 · pith_short_12: KRBZUSKBYLGR · pith_short_16: KRBZUSKBYLGRNLTG · pith_short_8: KRBZUSKB

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/KRBZUSKBYLGRNLTG7XEXBRVONH \
  | 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: 54439a4941c2cd16ae66fdc970c6ae69ef5f19db55e21602d1d0b7f75021081f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c3f5617c8b33f96f01121f902eba172bb4aec765a9becff875d07c989c06fe61",
    "cross_cats_sorted": [
      "astro-ph",
      "hep-th"
    ],
    "license": "",
    "primary_cat": "gr-qc",
    "submitted_at": "2002-10-10T19:05:56Z",
    "title_canon_sha256": "45c70101c64cea9ce61818619f302224f8c27acf3af3aea8ca38f2c9b9de3847"
  },
  "schema_version": "1.0",
  "source": {
    "id": "gr-qc/0210034",
    "kind": "arxiv",
    "version": 1
  }
}