Pith Number

pith:TON3AK4S

pith:2017:TON3AK4SYQQJSLGU6D7EINO3HM

not attested not anchored not stored refs pending

Inverting a normal harmonic oscillator: Physical interpretation and applications

Karthik Rajeev, Sumanta Chakraborty, T. Padmanabhan

arxiv:1712.06617 v2 · 2017-12-18 · 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{TON3AK4SYQQJSLGU6D7EINO3HM}

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	2026-05-18T00:07:32.872988Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9b9bb02b92c420992cd4f0fe4435db3b0f0d3b283e11a983968463582c72bf78

Aliases

arxiv: 1712.06617 · arxiv_version: 1712.06617v2 · doi: 10.48550/arxiv.1712.06617 · pith_short_12: TON3AK4SYQQJ · pith_short_16: TON3AK4SYQQJSLGU · pith_short_8: TON3AK4S

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/TON3AK4SYQQJSLGU6D7EINO3HM \
  | 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: 9b9bb02b92c420992cd4f0fe4435db3b0f0d3b283e11a983968463582c72bf78

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "88e78dadd0b39ea7327a08e7c6e593b8ad953017f583c9fd3ea295f07bec091e",
    "cross_cats_sorted": [
      "hep-th"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2017-12-18T19:02:12Z",
    "title_canon_sha256": "0757c4cc32071aa3073071aa0fd7f132a7b77c78d14d3d6a7aa7eedad44d2a4f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1712.06617",
    "kind": "arxiv",
    "version": 2
  }
}