Pith Number

pith:VJWNB3VO

pith:2014:VJWNB3VO2DTYPBR3CPOT2Y2AI5

not attested not anchored not stored refs pending

$3x+1$ inverse orbit generating functions almost always have natural boundaries

Jason P. Bell, Jeffrey C. Lagarias

arxiv:1408.6884 v1 · 2014-08-28 · math.CV · math.NT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{VJWNB3VO2DTYPBR3CPOT2Y2AI5}

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	2026-05-18T01:29:21.679126Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

aa6cd0eeaed0e787863b13dd3d634047419b3fd20202fce5a1289b0571523a3a

Aliases

arxiv: 1408.6884 · arxiv_version: 1408.6884v1 · doi: 10.48550/arxiv.1408.6884 · pith_short_12: VJWNB3VO2DTY · pith_short_16: VJWNB3VO2DTYPBR3 · pith_short_8: VJWNB3VO

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/VJWNB3VO2DTYPBR3CPOT2Y2AI5 \
  | 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: aa6cd0eeaed0e787863b13dd3d634047419b3fd20202fce5a1289b0571523a3a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "16d775c30b016634b0381148e938bb323cf10bbf344c32ce5ccb8b8168d01745",
    "cross_cats_sorted": [
      "math.NT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CV",
    "submitted_at": "2014-08-28T23:34:00Z",
    "title_canon_sha256": "57898fed48601e7294dab13b9d7bf175cab0d9ad04fcda6e9ef6a05d4335573f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1408.6884",
    "kind": "arxiv",
    "version": 1
  }
}