Pith Number

pith:PE254L6I

pith:2011:PE254L6IKQ7DADR5WGHBZTFME2

not attested not anchored not stored refs pending

Generalized normal rulings and invariants of Legendrian solid torus links

Dan Rutherford, Mikhail Lavrov

arxiv:1109.1319 v1 · 2011-09-06 · math.GT · math.SG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{PE254L6IKQ7DADR5WGHBZTFME2}

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	2026-05-18T04:13:55.980069Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7935de2fc8543e300e3db18e1cccac26a13c3456a60c199ebac215376b6af063

Aliases

arxiv: 1109.1319 · arxiv_version: 1109.1319v1 · doi: 10.48550/arxiv.1109.1319 · pith_short_12: PE254L6IKQ7D · pith_short_16: PE254L6IKQ7DADR5 · pith_short_8: PE254L6I

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/PE254L6IKQ7DADR5WGHBZTFME2 \
  | 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: 7935de2fc8543e300e3db18e1cccac26a13c3456a60c199ebac215376b6af063

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "617199754e69dab404a0dab48c61cde060f7a6172d0a993dbf08667fd8577f16",
    "cross_cats_sorted": [
      "math.SG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2011-09-06T22:49:00Z",
    "title_canon_sha256": "39bec99e04450456ad13b9af3c6605aefabc227383cf7fe1d7f6257660ee86a4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1109.1319",
    "kind": "arxiv",
    "version": 1
  }
}