Pith Number

pith:A56AW567

pith:2026:A56AW567WON7XIZADXROSC7A3Y

not attested not anchored not stored refs pending

A Time-Dependent Canonical Transformation between Bateman and Doubled Caldirola--Kanai Systems for a Homogeneous Massive Scalar Field on a Prescribed FLRW Background

Chaiyaphat Phantusen, Narakorn Kaewkhao

arxiv:2608.01894 v1 · 2026-08-03 · gr-qc · physics.class-ph

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{A56AW567WON7XIZADXROSC7A3Y}

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	2026-08-04T02:07:33.325089Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

077c0b77dfb39bfba3201de2e90be0de12a3d20e3e7ff43913111cf8766babd2

Aliases

arxiv: 2608.01894 · arxiv_version: 2608.01894v1 · doi: 10.48550/arxiv.2608.01894 · pith_short_12: A56AW567WON7 · pith_short_16: A56AW567WON7XIZA · pith_short_8: A56AW567

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/A56AW567WON7XIZADXROSC7A3Y \
  | 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: 077c0b77dfb39bfba3201de2e90be0de12a3d20e3e7ff43913111cf8766babd2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3dda7108185b944d4f9acd7c28b8cc17f3914337ae41e1e2dab0ed8e657ec70e",
    "cross_cats_sorted": [
      "physics.class-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2026-08-03T08:34:13Z",
    "title_canon_sha256": "bdfdbd05c3e93ccae96abd3ac68d14449777aed06a2e5e29859820c1a377f2a0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2608.01894",
    "kind": "arxiv",
    "version": 1
  }
}