Pith Number

pith:PFZUCIIV

pith:2019:PFZUCIIV6E3L3HF2ARLIFVJC4S

not attested not anchored not stored refs pending

Random projectors with continuous resolutions of the identity in a finite-dimensional Hilbert space

A. Vourdas

arxiv:1912.06421 v1 · 2019-12-13 · 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{PFZUCIIV6E3L3HF2ARLIFVJC4S}

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	2026-07-05T00:30:39.352933Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7973412115f136bd9cba045682d522e49b09f7efc82fc05196f897ebaa5779f3

Aliases

arxiv: 1912.06421 · arxiv_version: 1912.06421v1 · doi: 10.48550/arxiv.1912.06421 · pith_short_12: PFZUCIIV6E3L · pith_short_16: PFZUCIIV6E3L3HF2 · pith_short_8: PFZUCIIV

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/PFZUCIIV6E3L3HF2ARLIFVJC4S \
  | 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: 7973412115f136bd9cba045682d522e49b09f7efc82fc05196f897ebaa5779f3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6cb46f1fa2feab185de9204dfdb02803d43a3099c0160a7c5acc8742c364309e",
    "cross_cats_sorted": [
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2019-12-13T11:35:34Z",
    "title_canon_sha256": "6f402b7236e93fd48d482000407b8be77c6d64150a680214517e5bf16fc28ba5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1912.06421",
    "kind": "arxiv",
    "version": 1
  }
}