Pith Number

pith:6KYDDQOC

pith:2025:6KYDDQOC4Z5SCANW2PWGLYCS5L

not attested not anchored not stored refs pending

Classification and structure of generalized Legendrian racks

Luc Ta

arxiv:2504.12671 v3 · 2025-04-17 · math.GT · math.GR · math.QA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{6KYDDQOC4Z5SCANW2PWGLYCS5L}

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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

GL-racks and coloring invariants of Legendrian knots

Receipt and verification

First computed	2026-07-05T11:38:28.777589Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f2b031c1c2e67b2101b6d3ec65e052eacf81a54628dd3b1f84a245c7781fe03a

Aliases

arxiv: 2504.12671 · arxiv_version: 2504.12671v3 · doi: 10.48550/arxiv.2504.12671 · pith_short_12: 6KYDDQOC4Z5S · pith_short_16: 6KYDDQOC4Z5SCANW · pith_short_8: 6KYDDQOC

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/6KYDDQOC4Z5SCANW2PWGLYCS5L \
  | 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: f2b031c1c2e67b2101b6d3ec65e052eacf81a54628dd3b1f84a245c7781fe03a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "897d2966bd0626132c1d1a8c501d3044725f3fb6857d4edbd299ad356fe1c4c5",
    "cross_cats_sorted": [
      "math.GR",
      "math.QA"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2025-04-17T06:05:09Z",
    "title_canon_sha256": "f3d3aaf150c3dad351c8e24a545ce8108ea6664df6a8588c02003310e32aa2d3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2504.12671",
    "kind": "arxiv",
    "version": 3
  }
}