Pith Number

pith:77LFYYXP

pith:2018:77LFYYXPEJOMLGSQKWYMNZEUCT

not attested not anchored not stored refs pending

Polynomial Heisenberg algebras, multiphoton coherent states and geometric phases

David J. Fern\'andez C, Erik D\'iaz-Bautista, Miguel Castillo-Celeita

arxiv:1804.08543 v2 · 2018-04-23 · 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{77LFYYXPEJOMLGSQKWYMNZEUCT}

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	2026-05-17T23:54:59.218675Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ffd65c62ef225cc59a5055b0c6e49414f75501f5b997e5186b375d43705c0326

Aliases

arxiv: 1804.08543 · arxiv_version: 1804.08543v2 · doi: 10.48550/arxiv.1804.08543 · pith_short_12: 77LFYYXPEJOM · pith_short_16: 77LFYYXPEJOMLGSQ · pith_short_8: 77LFYYXP

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/77LFYYXPEJOMLGSQKWYMNZEUCT \
  | 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: ffd65c62ef225cc59a5055b0c6e49414f75501f5b997e5186b375d43705c0326

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "37d51ffff6f21663e61a5c849b69e4ba0ef86b60c0fc556feeac42d0131ea6d2",
    "cross_cats_sorted": [
      "math.MP",
      "quant-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2018-04-23T16:34:04Z",
    "title_canon_sha256": "89e042be6079fa4ac03d1cf36251713657a55ae4ea84fbb63324c5b124cdeeca"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1804.08543",
    "kind": "arxiv",
    "version": 2
  }
}