Pith Number

pith:2QUW4KF3

pith:2015:2QUW4KF3NBVZ6AL3VPEHJQKZYK

not attested not anchored not stored refs pending

A New Way to Proof 3x+1 Problem

Yanlong Zhou

arxiv:1506.02506 v1 · 2015-06-05 · 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{2QUW4KF3NBVZ6AL3VPEHJQKZYK}

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	2026-05-18T01:55:50.937011Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d4296e28bb686b9f017babc874c159c2b54f00f92013835559d5f0d828dace2a

Aliases

arxiv: 1506.02506 · arxiv_version: 1506.02506v1 · doi: 10.48550/arxiv.1506.02506 · pith_short_12: 2QUW4KF3NBVZ · pith_short_16: 2QUW4KF3NBVZ6AL3 · pith_short_8: 2QUW4KF3

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/2QUW4KF3NBVZ6AL3VPEHJQKZYK \
  | 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: d4296e28bb686b9f017babc874c159c2b54f00f92013835559d5f0d828dace2a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "51a0b4303588953857730b42404cecd0beee56e8f8e409ece3e0c648911fcfc0",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by-nc-sa/3.0/",
    "primary_cat": "math.GM",
    "submitted_at": "2015-06-05T07:46:03Z",
    "title_canon_sha256": "9add2a7ca9c1e979bc714d19aa6b5463419e64ea320a3444582ea6419be8b78a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1506.02506",
    "kind": "arxiv",
    "version": 1
  }
}