Pith Number

pith:F43PGMDS

pith:1998:F43PGMDS3S4VRX3CZLPGWRQEWH

not attested not anchored not stored refs pending

Conformal Symmetry and Duality between Free Particle, H-atom and Harmonic Oscillator

Itzhak Bars

arxiv:hep-th/9804028 v3 · 1998-04-03 · hep-th · math-ph · math.MP · nucl-th · physics.atom-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{F43PGMDS3S4VRX3CZLPGWRQEWH}

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	2026-05-18T01:08:01.685704Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2f36f33072dcb958df62cade6b4604b1fe3bba1495d0f9005465d407ebe9cf2c

Aliases

arxiv: hep-th/9804028 · arxiv_version: hep-th/9804028v3 · doi: 10.48550/arxiv.hep-th/9804028 · pith_short_12: F43PGMDS3S4V · pith_short_16: F43PGMDS3S4VRX3C · pith_short_8: F43PGMDS

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/F43PGMDS3S4VRX3CZLPGWRQEWH \
  | 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: 2f36f33072dcb958df62cade6b4604b1fe3bba1495d0f9005465d407ebe9cf2c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4aca948490e731960a701f64e60afbe58cb697342c7f640550840a829fcf5f46",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP",
      "nucl-th",
      "physics.atom-ph"
    ],
    "license": "",
    "primary_cat": "hep-th",
    "submitted_at": "1998-04-03T07:33:25Z",
    "title_canon_sha256": "940c70faf19cbadc7be182bdc6558662f58eeda408b66eb3c5bfd43b0efa93a0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "hep-th/9804028",
    "kind": "arxiv",
    "version": 3
  }
}