Pith Number

pith:PPBBBXQH

pith:2019:PPBBBXQHY4UJCBUPXUHCLKTPTF

not attested not anchored not stored refs pending

Quantum knots and knotted zeros

Louis H Kauffman, Samuel J Lomonaco

arxiv:1904.07229 v1 · 2019-04-15 · math.GT · 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{PPBBBXQHY4UJCBUPXUHCLKTPTF}

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	2026-05-17T23:48:29.196584Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7bc210de07c72891068fbd0e25aa6f9945ea01efac708ccb0b74a9dd35c134e8

Aliases

arxiv: 1904.07229 · arxiv_version: 1904.07229v1 · doi: 10.48550/arxiv.1904.07229 · pith_short_12: PPBBBXQHY4UJ · pith_short_16: PPBBBXQHY4UJCBUP · pith_short_8: PPBBBXQH

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/PPBBBXQHY4UJCBUPXUHCLKTPTF \
  | 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: 7bc210de07c72891068fbd0e25aa6f9945ea01efac708ccb0b74a9dd35c134e8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "38157aef9d05293c2a24ebc4932b896c1b934183e3d3ce09a9bdb62dc6546530",
    "cross_cats_sorted": [
      "quant-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2019-04-15T06:48:57Z",
    "title_canon_sha256": "c5d05c48120a3aee40b9322c17dfc1089bfffdaab86bc8fc394b008ea38e7a82"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1904.07229",
    "kind": "arxiv",
    "version": 1
  }
}