Pith Number

pith:VKG3CSZI

pith:2021:VKG3CSZI4XGGIVVD52HGBVTUSN

not attested not anchored not stored refs pending

The Wave Function of Simple Universes, Analytically Continued From Negative to Positive Potentials

Jean-Luc Lehners

arxiv:2105.12075 v2 · 2021-05-25 · hep-th · 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{VKG3CSZI4XGGIVVD52HGBVTUSN}

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	2026-07-05T03:16:16.729972Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

aa8db14b28e5cc6456a3ee8e60d67493611e301c570d1622f633b4b9baec2f9f

Aliases

arxiv: 2105.12075 · arxiv_version: 2105.12075v2 · doi: 10.48550/arxiv.2105.12075 · pith_short_12: VKG3CSZI4XGG · pith_short_16: VKG3CSZI4XGGIVVD · pith_short_8: VKG3CSZI

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/VKG3CSZI4XGGIVVD52HGBVTUSN \
  | 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: aa8db14b28e5cc6456a3ee8e60d67493611e301c570d1622f633b4b9baec2f9f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c278139b21c19a6d383c1c5a6c757d497c2c285ae047e06fe578f0d57e9a6de2",
    "cross_cats_sorted": [
      "gr-qc"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2021-05-25T16:56:25Z",
    "title_canon_sha256": "bdaf34d615404c940bcafdb3dd4d67ea9bb5a21fdcbbe8cb6f1f62bb172631a0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2105.12075",
    "kind": "arxiv",
    "version": 2
  }
}