Pith Number

pith:DS2RT2P6

pith:2016:DS2RT2P6C3PU3EDZH74EWCSJCZ

not attested not anchored not stored refs pending

On the 3x+1 conjecture

Peter Hellekalek

arxiv:1605.02634 v2 · 2016-05-09 · 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{DS2RT2P6C3PU3EDZH74EWCSJCZ}

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	2026-05-18T01:10:37.596383Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1cb519e9fe16df4d90793ff84b0a491672b3a1948ee86a3a22a2f7b906ddc4b1

Aliases

arxiv: 1605.02634 · arxiv_version: 1605.02634v2 · doi: 10.48550/arxiv.1605.02634 · pith_short_12: DS2RT2P6C3PU · pith_short_16: DS2RT2P6C3PU3EDZ · pith_short_8: DS2RT2P6

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/DS2RT2P6C3PU3EDZH74EWCSJCZ \
  | 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: 1cb519e9fe16df4d90793ff84b0a491672b3a1948ee86a3a22a2f7b906ddc4b1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2b8145ee43de5f27403cf012cf02f8549c0da91291e0c3e042c4c260db963f07",
    "cross_cats_sorted": [
      "math.DS"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2016-05-09T15:53:06Z",
    "title_canon_sha256": "ed2d3a28c1fa1c47e572eb44e6d0bbbfad9863ffbd25a053d73ed5a0b2089022"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1605.02634",
    "kind": "arxiv",
    "version": 2
  }
}