Pith Number

pith:4KL26437

pith:2019:4KL26437WTHDAMPKWHR4NXOKLU

not attested not anchored not stored refs pending

Biquandle Brackets and Knotoids

Natsumi Oyamaguchi, Neslihan G\"ug\"umc\"u, Sam Nelson

arxiv:1909.00262 v1 · 2019-08-31 · math.GT · math.QA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{4KL26437WTHDAMPKWHR4NXOKLU}

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	2026-07-05T00:01:07.339592Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e297af737fb4ce3031eab1e3c6ddca5d167a55eb96dca75fd9bc0080c2c7c8c1

Aliases

arxiv: 1909.00262 · arxiv_version: 1909.00262v1 · doi: 10.48550/arxiv.1909.00262 · pith_short_12: 4KL26437WTHD · pith_short_16: 4KL26437WTHDAMPK · pith_short_8: 4KL26437

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/4KL26437WTHDAMPKWHR4NXOKLU \
  | 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: e297af737fb4ce3031eab1e3c6ddca5d167a55eb96dca75fd9bc0080c2c7c8c1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "69f8faf7aebc9b4c6e940f02780737ae48e177706b9616c38ea654ae34a8f443",
    "cross_cats_sorted": [
      "math.QA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2019-08-31T18:38:20Z",
    "title_canon_sha256": "182a8009d68817a8c99b5ccb39563b5ff27b13c3f3beabb2e575a56477ddfd99"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1909.00262",
    "kind": "arxiv",
    "version": 1
  }
}