Pith Number

pith:P7DOXZUI

pith:2019:P7DOXZUISLIF6JZMMVLMSZDBOF

not attested not anchored not stored refs pending

Lagrangian cobordisms and Legendrian invariants in knot Floer homology

C.-M. Michael Wong, John A. Baldwin, Tye Lidman

arxiv:1907.09654 v1 · 2019-07-23 · 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{P7DOXZUISLIF6JZMMVLMSZDBOF}

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	2026-05-17T23:39:23.544209Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7fc6ebe68892d05f272c6556c9646171793ebbeabba840a24e8b1c15bd8666f5

Aliases

arxiv: 1907.09654 · arxiv_version: 1907.09654v1 · doi: 10.48550/arxiv.1907.09654 · pith_short_12: P7DOXZUISLIF · pith_short_16: P7DOXZUISLIF6JZM · pith_short_8: P7DOXZUI

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/P7DOXZUISLIF6JZMMVLMSZDBOF \
  | 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: 7fc6ebe68892d05f272c6556c9646171793ebbeabba840a24e8b1c15bd8666f5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8858c3e38b1632cfa58590946d02342353b1a84855e9f3cbde6fa1cc379cb9c6",
    "cross_cats_sorted": [
      "math.SG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2019-07-23T01:56:23Z",
    "title_canon_sha256": "a0b2690e40d37834f618f6e969a0e96113967ce7ad29b16dcb587d06b21a35a9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1907.09654",
    "kind": "arxiv",
    "version": 1
  }
}