Pith Number

pith:H4GCPCWY

pith:2006:H4GCPCWY32SANRYT3DFQSK3GCK

not attested not anchored not stored refs pending

The 3x+1 Problem: An Annotated Bibliography, II (2000-2009)

Jeffrey C. Lagarias

arxiv:math/0608208 v6 · 2006-08-09 · 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{H4GCPCWY32SANRYT3DFQSK3GCK}

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	2026-05-18T04:02:25.577676Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3f0c278ad8dea406c713d8cb092b66129aacc3627f6413e0508fe0c383d55eba

Aliases

arxiv: math/0608208 · arxiv_version: math/0608208v6 · doi: 10.48550/arxiv.math/0608208 · pith_short_12: H4GCPCWY32SA · pith_short_16: H4GCPCWY32SANRYT · pith_short_8: H4GCPCWY

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/H4GCPCWY32SANRYT3DFQSK3GCK \
  | 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: 3f0c278ad8dea406c713d8cb092b66129aacc3627f6413e0508fe0c383d55eba

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "589c16bbd89d3e4ef8bec682b7ac86fef84288a624e81f4080da38147cd37b66",
    "cross_cats_sorted": [
      "math.DS"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2006-08-09T01:48:09Z",
    "title_canon_sha256": "0e74901af83e9e87036cc3109c7239fbf02595a99735e1066edff73bd2fb7140"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0608208",
    "kind": "arxiv",
    "version": 6
  }
}