Pith Number

pith:WKJSFXSB

pith:2008:WKJSFXSBCRPDLFPEENI4OATZCR

not attested not anchored not stored refs pending

On the tunnel number and the Morse-Novikov number of knots

A. Pajitnov

arxiv:0811.2254 v2 · 2008-11-14 · math.GT · math.DG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{WKJSFXSBCRPDLFPEENI4OATZCR}

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	2026-05-18T01:22:31.072190Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b29322de41145e3595e42351c70279144eae8612c44378e56bb6797ac5f15c8e

Aliases

arxiv: 0811.2254 · arxiv_version: 0811.2254v2 · doi: 10.48550/arxiv.0811.2254 · pith_short_12: WKJSFXSBCRPD · pith_short_16: WKJSFXSBCRPDLFPE · pith_short_8: WKJSFXSB

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/WKJSFXSBCRPDLFPEENI4OATZCR \
  | 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: b29322de41145e3595e42351c70279144eae8612c44378e56bb6797ac5f15c8e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5031074fe0f5f8084b8091ffde4768fa66b7786db5c49b67ca66dc1044281151",
    "cross_cats_sorted": [
      "math.DG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2008-11-14T02:09:01Z",
    "title_canon_sha256": "6fccde96798b6581a588829e72a578fef4e3f1e9d685b572638ccf036e5085bf"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0811.2254",
    "kind": "arxiv",
    "version": 2
  }
}