Pith Number

pith:QKFUEYZY

pith:2025:QKFUEYZYVU55PCZNTXBLMXR7K2

not attested not anchored not stored refs pending

Markov fractions and the slopes of the exceptional bundles on $\mathbb P^2$

A.P. Veselov

arxiv:2501.06779 v2 · 2025-01-12 · math.NT · math.AG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{QKFUEYZYVU55PCZNTXBLMXR7K2}

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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

2 papers in Pith

Plane geometry of $q$-rationals and Springborn Operations

Markov fractions and Cohn matrices

Receipt and verification

First computed	2026-07-05T10:13:46.091709Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

828b426338ad3bd78b2d9dc2b65e3f56b445273c0f1d0d56e3823eed131b7625

Aliases

arxiv: 2501.06779 · arxiv_version: 2501.06779v2 · doi: 10.48550/arxiv.2501.06779 · pith_short_12: QKFUEYZYVU55 · pith_short_16: QKFUEYZYVU55PCZN · pith_short_8: QKFUEYZY

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/QKFUEYZYVU55PCZNTXBLMXR7K2 \
  | 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: 828b426338ad3bd78b2d9dc2b65e3f56b445273c0f1d0d56e3823eed131b7625

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "60a944304ff52fbd21d2007e6953fca712207400735278ebc5b85d027f38abf0",
    "cross_cats_sorted": [
      "math.AG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2025-01-12T11:31:22Z",
    "title_canon_sha256": "af5d6f637d8c639e643ca4af8ffed08aedb15f4fb04845ca261a71a73388052d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2501.06779",
    "kind": "arxiv",
    "version": 2
  }
}