Pith Number

pith:5Q67SDYQ

pith:2020:5Q67SDYQRTZD2NWKEJRX7RVLLF

not attested not anchored not stored refs pending

$q$-Deformations and $t$-deformations of Markov triples

Takeyoshi Kogiso

arxiv:2008.12913 v3 · 2020-08-29 · math.NT · math.CO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{5Q67SDYQRTZD2NWKEJRX7RVLLF}

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.

Cited by

2 papers in Pith

Degree shifts between q-deformed friezes and q-Farey labelings for general triangulations

Plane geometry of $q$-rationals and Springborn Operations

Receipt and verification

First computed	2026-07-05T01:40:00.749176Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ec3df90f108cf23d36ca22637fc6ab5979063540a7031a8d103767c8ba973b28

Aliases

arxiv: 2008.12913 · arxiv_version: 2008.12913v3 · doi: 10.48550/arxiv.2008.12913 · pith_short_12: 5Q67SDYQRTZD · pith_short_16: 5Q67SDYQRTZD2NWK · pith_short_8: 5Q67SDYQ

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/5Q67SDYQRTZD2NWKEJRX7RVLLF \
  | 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: ec3df90f108cf23d36ca22637fc6ab5979063540a7031a8d103767c8ba973b28

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b1905a8d4f649c66fa983b1cdc1b732e4bb5d4522d452fb066684e766f104591",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2020-08-29T05:26:59Z",
    "title_canon_sha256": "2811e9152b16a03102fb1fe1e5affa72b86bcedd3abf77be155cef279764dfe9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2008.12913",
    "kind": "arxiv",
    "version": 3
  }
}