Pith Number

pith:PQLULYJ7

pith:2015:PQLULYJ74FDR3K35WELOUTMSZE

not attested not anchored not stored refs pending

A combinatorial approach to knot recognition

Alexei Lisitsa, Andrew Fish, David Stanovsk\'y

arxiv:1505.06595 v1 · 2015-05-25 · math.GT · cs.CC

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{PQLULYJ74FDR3K35WELOUTMSZE}

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	2026-05-18T01:19:44.491597Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7c1745e13fe1471dab7db116ea4d92c92a2e456d403cc4e4e84827018202bcd5

Aliases

arxiv: 1505.06595 · arxiv_version: 1505.06595v1 · doi: 10.48550/arxiv.1505.06595 · pith_short_12: PQLULYJ74FDR · pith_short_16: PQLULYJ74FDR3K35 · pith_short_8: PQLULYJ7

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/PQLULYJ74FDR3K35WELOUTMSZE \
  | 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: 7c1745e13fe1471dab7db116ea4d92c92a2e456d403cc4e4e84827018202bcd5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "995b52cca07480545e7e34dacb7f7bc3c26af2473b592f06291325d01b80d661",
    "cross_cats_sorted": [
      "cs.CC"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2015-05-25T11:22:24Z",
    "title_canon_sha256": "a8d258ad9464f5d6c9dfbb014579319c6b53281799c9bd1b9145432d358952ad"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1505.06595",
    "kind": "arxiv",
    "version": 1
  }
}