Pith Number

pith:RPE3TCSE

pith:2012:RPE3TCSESRFAJWG475SCRLYDWO

not attested not anchored not stored refs pending

Convexity of momentum map, Morse index, and quantum entanglement

Adam Sawicki, Marek Ku\'s, Micha{\l} Oszmaniec

arxiv:1208.0556 v3 · 2012-08-02 · 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{RPE3TCSESRFAJWG475SCRLYDWO}

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	2026-05-18T01:22:49.207905Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8bc9b98a44944a04d8dcff6428af03b3a9ccd295fdbe1dca1c04ed1b8ed8ceb4

Aliases

arxiv: 1208.0556 · arxiv_version: 1208.0556v3 · doi: 10.48550/arxiv.1208.0556 · pith_short_12: RPE3TCSESRFA · pith_short_16: RPE3TCSESRFAJWG4 · pith_short_8: RPE3TCSE

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/RPE3TCSESRFAJWG475SCRLYDWO \
  | 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: 8bc9b98a44944a04d8dcff6428af03b3a9ccd295fdbe1dca1c04ed1b8ed8ceb4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0cd6112d52891f7e603c3e513116552ea83b5e64574d74937a73bc51575f0b9e",
    "cross_cats_sorted": [
      "math.MP",
      "quant-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2012-08-02T17:42:28Z",
    "title_canon_sha256": "d31755a4385ceec7b6a96436dbc3bc2cde9a7890f73ccce3feecd945c9b61fcb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1208.0556",
    "kind": "arxiv",
    "version": 3
  }
}