Pith Number

pith:5CMWRUUJ

pith:2015:5CMWRUUJ6ZB5U2K76DSMOF25EE

not attested not anchored not stored refs pending

The Bender-Dunne basis operators as Hilbert space operators

Eric Galapon, Joseph Bunao

arxiv:1509.00340 v1 · 2015-09-01 · 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{5CMWRUUJ6ZB5U2K76DSMOF25EE}

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	2026-05-18T01:34:14.362804Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e89968d289f643da695ff0e4c7175d210592290aa78abcc58cd92c1945cbc9fb

Aliases

arxiv: 1509.00340 · arxiv_version: 1509.00340v1 · doi: 10.48550/arxiv.1509.00340 · pith_short_12: 5CMWRUUJ6ZB5 · pith_short_16: 5CMWRUUJ6ZB5U2K7 · pith_short_8: 5CMWRUUJ

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/5CMWRUUJ6ZB5U2K76DSMOF25EE \
  | 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: e89968d289f643da695ff0e4c7175d210592290aa78abcc58cd92c1945cbc9fb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e27acbee1cfb18ccd1717737c6ec91cae88b6e031e3483b7692da63256a9b271",
    "cross_cats_sorted": [
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2015-09-01T15:09:19Z",
    "title_canon_sha256": "c9962a6b4e8bf746de41e592d51d84a8343597a078c3daed1437df5ce8233d7e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1509.00340",
    "kind": "arxiv",
    "version": 1
  }
}