Pith Number

pith:ATFT3XW4

pith:2018:ATFT3XW4F7MZJXUA2264QS7GQG

not attested not anchored not stored refs pending

Time Dilation as Quantum Tunneling Time

Vahid H. Ranjbar

arxiv:1811.11562 v4 · 2018-11-26 · quant-ph · 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{ATFT3XW4F7MZJXUA2264QS7GQG}

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	2026-05-17T23:52:04.002020Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

04cb3ddedc2fd994de80d6bdc84be681853be46c3bca14f882dea1aed55648c7

Aliases

arxiv: 1811.11562 · arxiv_version: 1811.11562v4 · doi: 10.48550/arxiv.1811.11562 · pith_short_12: ATFT3XW4F7MZ · pith_short_16: ATFT3XW4F7MZJXUA · pith_short_8: ATFT3XW4

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/ATFT3XW4F7MZJXUA2264QS7GQG \
  | 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: 04cb3ddedc2fd994de80d6bdc84be681853be46c3bca14f882dea1aed55648c7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "24a9ee067817a611c52241ec1364a852176b10324981d1ef6be4b53860748e33",
    "cross_cats_sorted": [
      "gr-qc"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2018-11-26T17:59:55Z",
    "title_canon_sha256": "88fd9916b777f3caaf28753ca43898188b25567150f257899de82a99c1dcccb3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1811.11562",
    "kind": "arxiv",
    "version": 4
  }
}