Pith Number

pith:XUJAMOYY

pith:2014:XUJAMOYYP4YZJWICTCJRYVO6SD

not attested not anchored not stored refs pending

The number of framings of a knot in a 3-manifold

Patricia Cahn, Rustam Sadykov, Vladimir Chernov

arxiv:1404.5851 v1 · 2014-04-23 · 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{XUJAMOYYP4YZJWICTCJRYVO6SD}

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	2026-05-18T02:53:27.763677Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bd12063b187f3194d90298931c55de90dc4240dfc23a2b1e8f3fcf49c201268f

Aliases

arxiv: 1404.5851 · arxiv_version: 1404.5851v1 · doi: 10.48550/arxiv.1404.5851 · pith_short_12: XUJAMOYYP4YZ · pith_short_16: XUJAMOYYP4YZJWIC · pith_short_8: XUJAMOYY

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/XUJAMOYYP4YZJWICTCJRYVO6SD \
  | 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: bd12063b187f3194d90298931c55de90dc4240dfc23a2b1e8f3fcf49c201268f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9463ca16b8b01657452a6291a82135771ee305398cca366fe253fe979492927b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2014-04-23T15:02:42Z",
    "title_canon_sha256": "fb1e8c8dac9963c85c7b38dcdb551e2076aab93019818250b60d6fffb55b8336"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1404.5851",
    "kind": "arxiv",
    "version": 1
  }
}