Pith Number

pith:7PC6XJEI

pith:2018:7PC6XJEI35DGKIMRTYRTRETMJ4

not attested not anchored not stored refs pending

Tunneling wave function of the universe II: the backreaction problem

Alexander Vilenkin, Masaki Yamada

arxiv:1812.08084 v2 · 2018-12-19 · gr-qc · 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{7PC6XJEI35DGKIMRTYRTRETMJ4}

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	2026-05-17T23:49:39.961859Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fbc5eba488df466521919e2338926c4f07152c61cb5032f3605851ef74dff497

Aliases

arxiv: 1812.08084 · arxiv_version: 1812.08084v2 · doi: 10.48550/arxiv.1812.08084 · pith_short_12: 7PC6XJEI35DG · pith_short_16: 7PC6XJEI35DGKIMR · pith_short_8: 7PC6XJEI

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/7PC6XJEI35DGKIMRTYRTRETMJ4 \
  | 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: fbc5eba488df466521919e2338926c4f07152c61cb5032f3605851ef74dff497

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5598f25440310b132f4db9b2d1205b835d7423fa0c3ee37883c6272954ce7cf4",
    "cross_cats_sorted": [
      "hep-th"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2018-12-19T16:55:14Z",
    "title_canon_sha256": "543e515f6c959d66e50df5b5fdc08ecba2b48c7786049712e28e44c4eee6d2dc"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1812.08084",
    "kind": "arxiv",
    "version": 2
  }
}