Pith Number

pith:75I6IJZH

pith:2023:75I6IJZHO2POL4UK4V3I3AG4UF

not attested not anchored not stored refs pending

Connectivity of Markoff mod-p graphs and maximal divisors

Daniel Martin, Elena Fuchs, Jillian Eddy, Matthew Litman, Nico Tripeny

arxiv:2308.07579 v1 · 2023-08-15 · 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{75I6IJZHO2POL4UK4V3I3AG4UF}

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

1 paper in Pith

Arithmetic and geometry of Markov polynomials

Receipt and verification

First computed	2026-07-05T06:41:27.741489Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ff51e42727769ee5f28ae5768d80dca153a8246b73a6c5ae7bd114da8a1f669e

Aliases

arxiv: 2308.07579 · arxiv_version: 2308.07579v1 · doi: 10.48550/arxiv.2308.07579 · pith_short_12: 75I6IJZHO2PO · pith_short_16: 75I6IJZHO2POL4UK · pith_short_8: 75I6IJZH

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/75I6IJZHO2POL4UK4V3I3AG4UF \
  | 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: ff51e42727769ee5f28ae5768d80dca153a8246b73a6c5ae7bd114da8a1f669e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "47041ce68133911f1b3302ae3a2b3c40052198fa0c64f4aa26608a8038d97c41",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2023-08-15T05:34:46Z",
    "title_canon_sha256": "80f6e1f5e6c8b57a34ce229f6a7eec7f3405440f24e619872c90f070bab530c8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2308.07579",
    "kind": "arxiv",
    "version": 1
  }
}