Pith Number

pith:L65QR6NB

pith:2022:L65QR6NBXVTKERGDHGW2HMBNDH

not attested not anchored not stored refs pending

L-spaces, taut foliations and the Whitehead link

Diego Santoro

arxiv:2201.01211 v4 · 2022-01-04 · 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{L65QR6NBXVTKERGDHGW2HMBNDH}

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	2026-06-23T01:12:42.803875Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5fbb08f9a1bd66a244c339ada3b02d19f42194eafc139675e7b9fb1f0c6400d6

Aliases

arxiv: 2201.01211 · arxiv_version: 2201.01211v4 · doi: 10.48550/arxiv.2201.01211 · pith_short_12: L65QR6NBXVTK · pith_short_16: L65QR6NBXVTKERGD · pith_short_8: L65QR6NB

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/L65QR6NBXVTKERGDHGW2HMBNDH \
  | 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: 5fbb08f9a1bd66a244c339ada3b02d19f42194eafc139675e7b9fb1f0c6400d6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1856a73029601e3b0e9acbffd6a7ade11c91af118c4f9d14667ed47b33f8439c",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2022-01-04T15:42:03Z",
    "title_canon_sha256": "52eca4c6bea21af308ced91da7575ca0b0f22560e89efde45ebdf26ca9b8796d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2201.01211",
    "kind": "arxiv",
    "version": 4
  }
}