Pith Number

pith:Q4PCEO6X

pith:2024:Q4PCEO6X2MWT3TNMA7SFXZLICS

not attested not anchored not stored refs pending

On multiplicative recurrence along linear patterns

Andreas Mountakis, Dimitrios Charamaras, Konstantinos Tsinas

arxiv:2412.03504 v2 · 2024-12-04 · math.NT · math.DS

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{Q4PCEO6X2MWT3TNMA7SFXZLICS}

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

Partition regularity of homogeneous quadratics: Current trends and challenges

Receipt and verification

First computed	2026-07-05T11:58:22.420089Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

871e223bd7d32d3dcdac07e45be56814929b04d1628eebfc0a5063544c569f81

Aliases

arxiv: 2412.03504 · arxiv_version: 2412.03504v2 · doi: 10.48550/arxiv.2412.03504 · pith_short_12: Q4PCEO6X2MWT · pith_short_16: Q4PCEO6X2MWT3TNM · pith_short_8: Q4PCEO6X

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/Q4PCEO6X2MWT3TNMA7SFXZLICS \
  | 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: 871e223bd7d32d3dcdac07e45be56814929b04d1628eebfc0a5063544c569f81

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "daddfd98f7f567fdaf8e9d846aa7a3b496a411d491be23987a25183104749611",
    "cross_cats_sorted": [
      "math.DS"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2024-12-04T17:45:49Z",
    "title_canon_sha256": "4f2ad82325c73238b3751246ad47c1fce27d1cf746d2106831af35021bb90de8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2412.03504",
    "kind": "arxiv",
    "version": 2
  }
}