Pith Number

pith:7DE2KNGL

pith:2018:7DE2KNGL7BOFTXF6PFTJCCU6FN

not attested not anchored not stored refs pending

Knot Invariants from Laplacian Matrices

Daniel S. Silver, Susan G. Williams

arxiv:1809.06492 v2 · 2018-09-18 · math.GT

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{7DE2KNGL7BOFTXF6PFTJCCU6FN}

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	2026-05-18T00:01:06.760856Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f8c9a534cbf85c59dcbe7966910a9e2b490b5c92048566df2c85149844f41761

Aliases

arxiv: 1809.06492 · arxiv_version: 1809.06492v2 · doi: 10.48550/arxiv.1809.06492 · pith_short_12: 7DE2KNGL7BOF · pith_short_16: 7DE2KNGL7BOFTXF6 · pith_short_8: 7DE2KNGL

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/7DE2KNGL7BOFTXF6PFTJCCU6FN \
  | 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: f8c9a534cbf85c59dcbe7966910a9e2b490b5c92048566df2c85149844f41761

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ad6ee1ad11b7b51a9fb565287880c07343d56fb875bc5ecf5f6a6d250c01cd26",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2018-09-18T00:45:44Z",
    "title_canon_sha256": "74ba4f4d5e4cf02cf92fc3e0dd7ee9b224557167fcd41c9bea83ff9017394c2c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1809.06492",
    "kind": "arxiv",
    "version": 2
  }
}