Pith Number

pith:IA55AXYJ

pith:2022:IA55AXYJ5RF7CK7RQSZFEKQBHZ

not attested not anchored not stored refs pending

On the monotonicity of the generalized Markov numbers

Min Huang

arxiv:2204.11443 v2 · 2022-04-25 · 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{IA55AXYJ5RF7CK7RQSZFEKQBHZ}

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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

Orderings of Generalized k-Markov Numbers

Receipt and verification

First computed	2026-07-05T04:17:41.116525Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

403bd05f09ec4bf12bf184b2522a013e6b422c7442f17fec90e3563c633554bf

Aliases

arxiv: 2204.11443 · arxiv_version: 2204.11443v2 · doi: 10.48550/arxiv.2204.11443 · pith_short_12: IA55AXYJ5RF7 · pith_short_16: IA55AXYJ5RF7CK7R · pith_short_8: IA55AXYJ

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/IA55AXYJ5RF7CK7RQSZFEKQBHZ \
  | 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: 403bd05f09ec4bf12bf184b2522a013e6b422c7442f17fec90e3563c633554bf

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "aa8c8cb4a0bd14b336ba5b3ed2581e24e7f09db533a74a607bd8f3db79006ee2",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2022-04-25T05:28:54Z",
    "title_canon_sha256": "c13249c08b7a91ec0e7defc91276ebbcde3278754606d056850f0cd6893adac2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2204.11443",
    "kind": "arxiv",
    "version": 2
  }
}