Pith Number

pith:KNPVDP5K

pith:2011:KNPVDP5KUKLHUSCURCPRBFWU2T

not attested not anchored not stored refs pending

The Poincare-Birkhoff theorem in Quantum Mechanics

D. A. Wisniacki, F. Borondo, F. J. Arranz, M. Saraceno, R. M. Benito

arxiv:1105.1461 v1 · 2011-05-07 · nlin.CD · 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{KNPVDP5KUKLHUSCURCPRBFWU2T}

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	2026-05-18T02:02:02.882432Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

535f51bfaaa2967a4854889f1096d4d4c932db7d2cabcc342741bc602181a0e9

Aliases

arxiv: 1105.1461 · arxiv_version: 1105.1461v1 · doi: 10.48550/arxiv.1105.1461 · pith_short_12: KNPVDP5KUKLH · pith_short_16: KNPVDP5KUKLHUSCU · pith_short_8: KNPVDP5K

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/KNPVDP5KUKLHUSCURCPRBFWU2T \
  | 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: 535f51bfaaa2967a4854889f1096d4d4c932db7d2cabcc342741bc602181a0e9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c04a2efc33b716ae4f3a9ca27a7a67671b6bb59d2ab95fe0f0248118b279806b",
    "cross_cats_sorted": [
      "quant-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "nlin.CD",
    "submitted_at": "2011-05-07T16:42:43Z",
    "title_canon_sha256": "5a7400762b1baea83c7d9aee06c5d7756ca19ef7b65d168a2044ba22ff543a0a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1105.1461",
    "kind": "arxiv",
    "version": 1
  }
}