Pith Number

pith:BBECBIAR

pith:2025:BBECBIARGBMM5MWVRTOUJN4Y6I

not attested not anchored not stored refs pending

Iteration Steps of 3x+1 Problem

Youchun Luo

arxiv:2506.23070 v2 · 2025-06-29 · 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{BBECBIARGBMM5MWVRTOUJN4Y6I}

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	2026-07-05T11:35:14.659359Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

084820a0113058ceb2d58cdd44b798f20fecbf5e6168a422f3847a98baab99f9

Aliases

arxiv: 2506.23070 · arxiv_version: 2506.23070v2 · doi: 10.48550/arxiv.2506.23070 · pith_short_12: BBECBIARGBMM · pith_short_16: BBECBIARGBMM5MWV · pith_short_8: BBECBIAR

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/BBECBIARGBMM5MWVRTOUJN4Y6I \
  | 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: 084820a0113058ceb2d58cdd44b798f20fecbf5e6168a422f3847a98baab99f9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6d07ebd7dfff2e3358d3dfd6daa3c154db0ea88265b65477ba51fa38f204f9b9",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GM",
    "submitted_at": "2025-06-29T03:15:50Z",
    "title_canon_sha256": "c35321b51bb3ac70fc9c8ae433c7b96a07b45cb66ce2a85faca9be39095d1d56"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2506.23070",
    "kind": "arxiv",
    "version": 2
  }
}