Pith Number

pith:XYBSELRP

pith:2026:XYBSELRPUI6QSFTY7GA6XEPF4Q

not attested not anchored not stored refs pending

Geometric Analysis of the Damped Harmonic Oscillator via the Lambert W Function

Arpan Sharma, Bhargava Jogi, Ken Roberts, Muralikrishna Molli, S.R. Valluri

arxiv:2605.31456 v1 · 2026-05-29 · math-ph · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{XYBSELRPUI6QSFTY7GA6XEPF4Q}

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	2026-06-01T02:04:06.813922Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

be03222e2fa23d091678f981eb91e5e4383de85fa32fd89cf29e0d930e3cea5f

Aliases

arxiv: 2605.31456 · arxiv_version: 2605.31456v1 · doi: 10.48550/arxiv.2605.31456 · pith_short_12: XYBSELRPUI6Q · pith_short_16: XYBSELRPUI6QSFTY · pith_short_8: XYBSELRP

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/XYBSELRPUI6QSFTY7GA6XEPF4Q \
  | 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: be03222e2fa23d091678f981eb91e5e4383de85fa32fd89cf29e0d930e3cea5f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4dc55e6598f177ca630ea220ea5879cbea1904526969c9b32e4858cbb1bd5238",
    "cross_cats_sorted": [
      "math.MP"
    ],
    "license": "http://creativecommons.org/licenses/by-nc-nd/4.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2026-05-29T15:50:13Z",
    "title_canon_sha256": "6e2a5b8d68e2784af5ca97c0c61c37d62f4a39fbc9b36a68f7e77edf86e4100c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2605.31456",
    "kind": "arxiv",
    "version": 1
  }
}