Pith Number

pith:U2PNFZ3W

pith:2018:U2PNFZ3WJMIVOL3NXT3VH6VKWN

not attested not anchored not stored refs pending

Discovering the manifold facets of a square integrable representation: from coherent states to open systems

Paolo Aniello

arxiv:1811.00858 v1 · 2018-11-02 · math-ph · math.MP

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{U2PNFZ3WJMIVOL3NXT3VH6VKWN}

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	2026-05-17T23:45:35.549014Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a69ed2e7764b11572f6dbcf753faaab371944e8fa698f545402e6aeb74f81a87

Aliases

arxiv: 1811.00858 · arxiv_version: 1811.00858v1 · doi: 10.48550/arxiv.1811.00858 · pith_short_12: U2PNFZ3WJMIV · pith_short_16: U2PNFZ3WJMIVOL3N · pith_short_8: U2PNFZ3W

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/U2PNFZ3WJMIVOL3NXT3VH6VKWN \
  | 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: a69ed2e7764b11572f6dbcf753faaab371944e8fa698f545402e6aeb74f81a87

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "653f09959199ff8e66eba78b979d24c0445a729ac7fe878c6e704eb7686a79d8",
    "cross_cats_sorted": [
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2018-11-02T13:47:30Z",
    "title_canon_sha256": "43de6cd593cab3ad32ed3e0f28fab6f515370f6cd86c2a38028ec46791394e2d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1811.00858",
    "kind": "arxiv",
    "version": 1
  }
}