Pith Number

pith:JPX7JSH7

pith:2013:JPX7JSH7VBAOVJDOIFIJ4GPZUL

not attested not anchored not stored refs pending

Effects as functions on projective Hilbert space

P. Busch, S.P. Gudder

arxiv:1303.6589 v1 · 2013-03-26 · 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{JPX7JSH7VBAOVJDOIFIJ4GPZUL}

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	2026-05-18T03:29:48.965936Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4beff4c8ffa840eaa46e41509e19f9a2f1f88be21d7ce7b40a83b08b8eb8a565

Aliases

arxiv: 1303.6589 · arxiv_version: 1303.6589v1 · doi: 10.48550/arxiv.1303.6589 · pith_short_12: JPX7JSH7VBAO · pith_short_16: JPX7JSH7VBAOVJDO · pith_short_8: JPX7JSH7

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/JPX7JSH7VBAOVJDOIFIJ4GPZUL \
  | 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: 4beff4c8ffa840eaa46e41509e19f9a2f1f88be21d7ce7b40a83b08b8eb8a565

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "446711d4424ec43f9820340afe51f8c445e098a1893df02c27e8e26c2e303710",
    "cross_cats_sorted": [
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2013-03-26T18:25:31Z",
    "title_canon_sha256": "4e48fb6b21d5b71c25dce8097b4affec27bc4053dbf3e5d8d8ba4628ca5a8e63"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1303.6589",
    "kind": "arxiv",
    "version": 1
  }
}