Pith Number

pith:7R2SMBV5

pith:2026:7R2SMBV5UQQT37LABYA6ALFJJH

not attested not anchored not stored refs pending

Non-Definability of Reachability in B\"uchi Arithmetic for a Family of Generalized Collatz Maps

Madhav Dhiman, Rohan Pandey

arxiv:2602.06066 v2 · 2026-02-01 · math.GM

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{7R2SMBV5UQQT37LABYA6ALFJJH}

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	2026-06-29T01:14:28.608886Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fc752606bda4213dfd600e01e02ca949faf7dc9dd7e1339b0e761b14d5cbb082

Aliases

arxiv: 2602.06066 · arxiv_version: 2602.06066v2 · doi: 10.48550/arxiv.2602.06066 · pith_short_12: 7R2SMBV5UQQT · pith_short_16: 7R2SMBV5UQQT37LA · pith_short_8: 7R2SMBV5

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/7R2SMBV5UQQT37LABYA6ALFJJH \
  | 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: fc752606bda4213dfd600e01e02ca949faf7dc9dd7e1339b0e761b14d5cbb082

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d31fc2fc9990f3868925fd3c0fa844344d371e3ebee5d2e6af29cb274b7be83f",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.GM",
    "submitted_at": "2026-02-01T05:12:28Z",
    "title_canon_sha256": "f96cd84beb77fec27b1b8001fab7f30e4cfb3732806070f607798128b4c5083a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2602.06066",
    "kind": "arxiv",
    "version": 2
  }
}