Pith Number

pith:LCYK7ZPB

pith:2009:LCYK7ZPB6ZNOSDBKAQVOKSQTJ3

not attested not anchored not stored refs pending

Connections between Floer-type invariants and Morse-type invariants of Legendrian knots

Michael Henry

arxiv:0911.1735 v3 · 2009-11-09 · 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{LCYK7ZPB6ZNOSDBKAQVOKSQTJ3}

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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.

Cited by

1 paper in Pith

Legendrian DGA Representations and the Colored Kauffman Polynomial

Receipt and verification

First computed	2026-05-18T03:00:59.740598Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

58b0afe5e1f65ae90c2a042ae54a134ee87f84d0e96894948a678c69cd49ea1b

Aliases

arxiv: 0911.1735 · arxiv_version: 0911.1735v3 · doi: 10.48550/arxiv.0911.1735 · pith_short_12: LCYK7ZPB6ZNO · pith_short_16: LCYK7ZPB6ZNOSDBK · pith_short_8: LCYK7ZPB

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/LCYK7ZPB6ZNOSDBKAQVOKSQTJ3 \
  | 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: 58b0afe5e1f65ae90c2a042ae54a134ee87f84d0e96894948a678c69cd49ea1b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8403fba9a7a1973725bc73d3e24496c4dd0165e6f523a4120fc4b13aaa15915d",
    "cross_cats_sorted": [
      "math.SG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2009-11-09T19:25:27Z",
    "title_canon_sha256": "c9485ea4e684c18c7f5fcc5a80657fc2893f8848c1dd51ed61d4ae306004ab88"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0911.1735",
    "kind": "arxiv",
    "version": 3
  }
}