Pith Number

pith:QRL6KLGN

pith:2015:QRL6KLGN25AYXEL336GHAJWIVK

not attested not anchored not stored refs pending

Repeated boundary slopes for 2-bridge knots

Cynthia L. Curtis, Randolph J. Leiser, Ryan J. Manheimer, William Franczak

arxiv:1502.04610 v1 · 2015-02-16 · 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{QRL6KLGN25AYXEL336GHAJWIVK}

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	2026-05-18T02:26:59.504674Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8457e52ccdd7418b917bdf8c7026c8aaba7ceeee03d9824858d2abfbdaef14e5

Aliases

arxiv: 1502.04610 · arxiv_version: 1502.04610v1 · doi: 10.48550/arxiv.1502.04610 · pith_short_12: QRL6KLGN25AY · pith_short_16: QRL6KLGN25AYXEL3 · pith_short_8: QRL6KLGN

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/QRL6KLGN25AYXEL336GHAJWIVK \
  | 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: 8457e52ccdd7418b917bdf8c7026c8aaba7ceeee03d9824858d2abfbdaef14e5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "69cb54021a30eb6671b4f78de66426008c5f7c16c9d3ab15809c127370f32f92",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2015-02-16T16:32:56Z",
    "title_canon_sha256": "b8abded1cd27aea7893ddd9cb0307e18afd0ac9a08d4334e45bd100a3eb72d2b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1502.04610",
    "kind": "arxiv",
    "version": 1
  }
}