Pith Number

pith:EWAQUMW4

pith:2010:EWAQUMW4VIM6UVLJYYXRMDZTZH

not attested not anchored not stored refs pending

The relativistic massless harmonic oscillator

J. Rembielinski, K. Kowalski

arxiv:1002.0474 v1 · 2010-02-02 · quant-ph · 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{EWAQUMW4VIM6UVLJYYXRMDZTZH}

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	2026-05-18T02:33:48.810376Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

25810a32dcaa19ea5569c62f160f33c9ce5da707369c3b51160f4aa6bc291b4e

Aliases

arxiv: 1002.0474 · arxiv_version: 1002.0474v1 · doi: 10.48550/arxiv.1002.0474 · pith_short_12: EWAQUMW4VIM6 · pith_short_16: EWAQUMW4VIM6UVLJ · pith_short_8: EWAQUMW4

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/EWAQUMW4VIM6UVLJYYXRMDZTZH \
  | 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: 25810a32dcaa19ea5569c62f160f33c9ce5da707369c3b51160f4aa6bc291b4e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "70c6d0e9d686b057f107b7ef32b98bfcdcbb33c4f95c9f2d13d97b7ac0a6a1bd",
    "cross_cats_sorted": [
      "hep-th"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2010-02-02T14:10:32Z",
    "title_canon_sha256": "3c874ffed7eb6f5dcab9a6016ee5a2fdb4ad0f490f74a209e9134cef4a0f89c9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1002.0474",
    "kind": "arxiv",
    "version": 1
  }
}