Pith Number

pith:NPRMSRZA

pith:2004:NPRMSRZA65UYDA7W4K2KZKE333

not attested not anchored not stored refs pending

Adelic Harmonic Oscillator

Branko Dragovich

arxiv:hep-th/0404160 v1 · 2004-04-21 · hep-th · math-ph · math.MP · quant-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{NPRMSRZA65UYDA7W4K2KZKE333}

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	2026-05-18T01:38:46.279380Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6be2c94720f7698183f6e2b4aca89bdef144434026cf621232453a54365532d5

Aliases

arxiv: hep-th/0404160 · arxiv_version: hep-th/0404160v1 · doi: 10.48550/arxiv.hep-th/0404160 · pith_short_12: NPRMSRZA65UY · pith_short_16: NPRMSRZA65UYDA7W · pith_short_8: NPRMSRZA

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/NPRMSRZA65UYDA7W4K2KZKE333 \
  | 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: 6be2c94720f7698183f6e2b4aca89bdef144434026cf621232453a54365532d5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "00258997e3b9ca101778f5326021660e07d894652bb4f083593b159e5ab0a42c",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP",
      "quant-ph"
    ],
    "license": "",
    "primary_cat": "hep-th",
    "submitted_at": "2004-04-21T15:41:12Z",
    "title_canon_sha256": "0b2a37816edcf8559cf3e348969816889298d726379a4f6526e8da2dcf54bebe"
  },
  "schema_version": "1.0",
  "source": {
    "id": "hep-th/0404160",
    "kind": "arxiv",
    "version": 1
  }
}