Pith Number

pith:NAG4HHNQ

pith:2017:NAG4HHNQPSFXDC5EXICSGHPL6W

not attested not anchored not stored refs pending

Markov Numbers, Mather's $\beta$ function and stable norm

Alexander P. Veselov, Alfonso Sorrentino

arxiv:1707.03901 v2 · 2017-07-12 · math.DS · 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{NAG4HHNQPSFXDC5EXICSGHPL6W}

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	2026-05-18T00:30:22.047074Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

680dc39db07c8b718ba4ba05231debf5a36ca9c876f029fa1bffdea60fa6fc19

Aliases

arxiv: 1707.03901 · arxiv_version: 1707.03901v2 · doi: 10.48550/arxiv.1707.03901 · pith_short_12: NAG4HHNQPSFX · pith_short_16: NAG4HHNQPSFXDC5E · pith_short_8: NAG4HHNQ

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/NAG4HHNQPSFXDC5EXICSGHPL6W \
  | 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: 680dc39db07c8b718ba4ba05231debf5a36ca9c876f029fa1bffdea60fa6fc19

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "42934fd440667dcacc9cd89d08a970672a43252a35cea0758ffe70c080eb4609",
    "cross_cats_sorted": [
      "math.NT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2017-07-12T20:43:06Z",
    "title_canon_sha256": "19a74e51d5ee0e5e5547a6fc370e91db4700ed6c1287e134f936dedb197ff395"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1707.03901",
    "kind": "arxiv",
    "version": 2
  }
}