Pith Number

pith:S4MTFGES

pith:2011:S4MTFGESYJEEPGSC2PEKKZWSJS

not attested not anchored not stored refs pending

On the equivalence of Legendrian and transverse invariants in knot Floer homology

David Shea Vela-Vick, John A. Baldwin, Vera Vertesi

arxiv:1112.5970 v1 · 2011-12-27 · 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{S4MTFGESYJEEPGSC2PEKKZWSJS}

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	2026-05-18T02:38:17.889006Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9719329892c248479a42d3c8a566d24c8b0b86a891cdfa48870c7a2a93bf9746

Aliases

arxiv: 1112.5970 · arxiv_version: 1112.5970v1 · doi: 10.48550/arxiv.1112.5970 · pith_short_12: S4MTFGESYJEE · pith_short_16: S4MTFGESYJEEPGSC · pith_short_8: S4MTFGES

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/S4MTFGESYJEEPGSC2PEKKZWSJS \
  | 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: 9719329892c248479a42d3c8a566d24c8b0b86a891cdfa48870c7a2a93bf9746

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cc71d9033b6011f9804964210f55501af420a25147a7de27b35653f9a167cabe",
    "cross_cats_sorted": [
      "math.GT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.SG",
    "submitted_at": "2011-12-27T15:16:22Z",
    "title_canon_sha256": "ccd5273d3a64467716d89aba73f3e91eee436b3c06d7892e926bf8e66aa7614a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1112.5970",
    "kind": "arxiv",
    "version": 1
  }
}