Pith Number

pith:PRIAVYWT

pith:1993:PRIAVYWTMVFK7TPAWAKQGAS3QY

not attested not anchored not stored refs pending

Tunnelling geometries I. Analyticity, unitarity and instantons in quantum cosmology

A.O.Barvinsky, A.Yu.Kamenshchik

arxiv:gr-qc/9311022 v1 · 1993-11-14 · gr-qc

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{PRIAVYWTMVFK7TPAWAKQGAS3QY}

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	2026-05-18T04:17:52.768718Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7c500ae2d3654aafcde0b01503025b8605e0d4517a96830c9b078df730926b5e

Aliases

arxiv: gr-qc/9311022 · arxiv_version: gr-qc/9311022v1 · doi: 10.48550/arxiv.gr-qc/9311022 · pith_short_12: PRIAVYWTMVFK · pith_short_16: PRIAVYWTMVFK7TPA · pith_short_8: PRIAVYWT

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/PRIAVYWTMVFK7TPAWAKQGAS3QY \
  | 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: 7c500ae2d3654aafcde0b01503025b8605e0d4517a96830c9b078df730926b5e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fc1a15fb0969ddc4d6d6879e70b1d7b85eaa199347c1e904cc65990b5e4a742b",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "gr-qc",
    "submitted_at": "1993-11-14T04:37:26Z",
    "title_canon_sha256": "23e6d100b71a9a335d5dbf3ae97d4a903d246ac4fb29a193a73d36989d4ea39a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "gr-qc/9311022",
    "kind": "arxiv",
    "version": 1
  }
}