Pith Number

pith:F4B7JFN7

pith:2018:F4B7JFN7SR5IIL4TFBYIP7KTBC

not attested not anchored not stored refs pending

Tunneling wave function of the universe

Alexander Vilenkin, Masaki Yamada

arxiv:1808.02032 v2 · 2018-08-06 · 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{F4B7JFN7SR5IIL4TFBYIP7KTBC}

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	2026-05-18T00:05:29.990203Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2f03f495bf947a842f93287087fd5308925d6ed54f0c58d1a2cad09a30263970

Aliases

arxiv: 1808.02032 · arxiv_version: 1808.02032v2 · doi: 10.48550/arxiv.1808.02032 · pith_short_12: F4B7JFN7SR5I · pith_short_16: F4B7JFN7SR5IIL4T · pith_short_8: F4B7JFN7

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/F4B7JFN7SR5IIL4TFBYIP7KTBC \
  | 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: 2f03f495bf947a842f93287087fd5308925d6ed54f0c58d1a2cad09a30263970

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ff5916f10864fbcc6259214696f91be913205d62a0f9030503297132652fc1d1",
    "cross_cats_sorted": [
      "hep-th"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2018-08-06T18:00:00Z",
    "title_canon_sha256": "669bc6695daf3ce1ace3d4592a6c5c137c088c4b4a64623c6d72ab4f48b95338"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1808.02032",
    "kind": "arxiv",
    "version": 2
  }
}