Pith Number

pith:7XGDHZT3

pith:2009:7XGDHZT3KSUFGR6SU3TNJUPEA6

not attested not anchored not stored refs pending

On the Existence of the Dynamics for Anharmonic Quantum Oscillator Systems

Benjamin Schlein, Bruno Nachtergaele, Robert Sims, Shannon Starr, Valentin Zagrebnov

arxiv:0909.2249 v1 · 2009-09-11 · 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{7XGDHZT3KSUFGR6SU3TNJUPEA6}

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	2026-05-18T02:34:30.343270Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fdcc33e67b54a85347d2a6e6d4d1e40793a3f1d596a6a6bf54bce8f5638ccacf

Aliases

arxiv: 0909.2249 · arxiv_version: 0909.2249v1 · doi: 10.48550/arxiv.0909.2249 · pith_short_12: 7XGDHZT3KSUF · pith_short_16: 7XGDHZT3KSUFGR6S · pith_short_8: 7XGDHZT3

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/7XGDHZT3KSUFGR6SU3TNJUPEA6 \
  | 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: fdcc33e67b54a85347d2a6e6d4d1e40793a3f1d596a6a6bf54bce8f5638ccacf

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "80fba3165eb21b9621b11773efebb61049511c75c9f1d6bfa818aec2c68fea6e",
    "cross_cats_sorted": [
      "math.MP",
      "quant-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2009-09-11T19:54:34Z",
    "title_canon_sha256": "e0f021f89c276c15e4dd60720936f80547985dbf504116b02a90f0cc565bd97c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0909.2249",
    "kind": "arxiv",
    "version": 1
  }
}