Pith Number

pith:47U7SIQ6

pith:2010:47U7SIQ6PNWNPFHFW6FTRVIV3Q

not attested not anchored not stored refs pending

Legendrian and transverse twist knots

John B. Etnyre, Lenhard L. Ng, Vera Vertesi

arxiv:1002.2400 v3 · 2010-02-11 · math.SG · 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{47U7SIQ6PNWNPFHFW6FTRVIV3Q}

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	2026-05-18T03:26:23.503276Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e7e9f9221e7b6cd794e5b78b38d515dc3fb92d5ed5d27fd50ceb1962e3c3f3fd

Aliases

arxiv: 1002.2400 · arxiv_version: 1002.2400v3 · doi: 10.48550/arxiv.1002.2400 · pith_short_12: 47U7SIQ6PNWN · pith_short_16: 47U7SIQ6PNWNPFHF · pith_short_8: 47U7SIQ6

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/47U7SIQ6PNWNPFHFW6FTRVIV3Q \
  | 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: e7e9f9221e7b6cd794e5b78b38d515dc3fb92d5ed5d27fd50ceb1962e3c3f3fd

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "aa45d969c3531457685fdfdb52742e5a686631f05fc90f37925e5974324475da",
    "cross_cats_sorted": [
      "math.GT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.SG",
    "submitted_at": "2010-02-11T19:08:31Z",
    "title_canon_sha256": "02ae5a905736de9c65d97b428fe88f46157b4dcc243d85f838b95277a81e1cf3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1002.2400",
    "kind": "arxiv",
    "version": 3
  }
}