Pith Number

pith:QKPFSIVC

pith:2021:QKPFSIVCQDTP7M4X65I37PUP2H

not attested not anchored not stored refs pending

The $q$-analog of the Markoff injectivity conjecture over the language of a balanced sequence

M\'elodie Lapointe, S\'ebastien Labb\'e

arxiv:2106.15886 v3 · 2021-06-30 · math.CO · math.NT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{QKPFSIVCQDTP7M4X65I37PUP2H}

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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

Plane geometry of $q$-rationals and Springborn Operations

Receipt and verification

First computed	2026-07-05T04:14:37.869983Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

829e5922a280e6ffb397f751bfbe8fd1f63feb10ea5fe9e07a1d572d0fa5c5ed

Aliases

arxiv: 2106.15886 · arxiv_version: 2106.15886v3 · doi: 10.48550/arxiv.2106.15886 · pith_short_12: QKPFSIVCQDTP · pith_short_16: QKPFSIVCQDTP7M4X · pith_short_8: QKPFSIVC

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/QKPFSIVCQDTP7M4X65I37PUP2H \
  | 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: 829e5922a280e6ffb397f751bfbe8fd1f63feb10ea5fe9e07a1d572d0fa5c5ed

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c576b862507ef43805b89a4b469160a0a647b1289af94856ec7961eaff1f2279",
    "cross_cats_sorted": [
      "math.NT"
    ],
    "license": "http://creativecommons.org/licenses/by-sa/4.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2021-06-30T08:22:30Z",
    "title_canon_sha256": "d881a21b2c4b8c96660c2fc3aa4ae9932c993ed5e71ef48732040fc0e56d2102"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2106.15886",
    "kind": "arxiv",
    "version": 3
  }
}