Pith Number

pith:7B6VZGFK

pith:2018:7B6VZGFKTAH6VMB3V4N32OOMOT

not attested not anchored not stored refs pending

Wigner functions on non-standard symplectic vector spaces

Jo\~ao Nuno Prata, Nuno Costa Dias

arxiv:1801.04044 v1 · 2018-01-12 · math-ph · math.FA · math.MP · math.SG · 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{7B6VZGFKTAH6VMB3V4N32OOMOT}

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	2026-05-18T00:10:46.951856Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f87d5c98aa980feab03baf1bbd39cc74de8050fd7309a2c86ebaf1b1849b02d9

Aliases

arxiv: 1801.04044 · arxiv_version: 1801.04044v1 · doi: 10.48550/arxiv.1801.04044 · pith_short_12: 7B6VZGFKTAH6 · pith_short_16: 7B6VZGFKTAH6VMB3 · pith_short_8: 7B6VZGFK

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/7B6VZGFKTAH6VMB3V4N32OOMOT \
  | 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: f87d5c98aa980feab03baf1bbd39cc74de8050fd7309a2c86ebaf1b1849b02d9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "76e91b15cb86dc7dd8bdd36dae74abf79546ba577e58d55c3c7a7fb228aad123",
    "cross_cats_sorted": [
      "math.FA",
      "math.MP",
      "math.SG",
      "quant-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2018-01-12T03:10:20Z",
    "title_canon_sha256": "24228810bf4dafbbc418774631fbb2d1e63fe3bae1a1e820d6bc568fbcc1104f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1801.04044",
    "kind": "arxiv",
    "version": 1
  }
}