Pith Number

pith:WLZF3RPF

pith:2011:WLZF3RPFD7CHJBTDHRNBCYIZ5O

not attested not anchored not stored refs pending

Pseudoperiodicity and the $3x+1$ Conjugacy Function

Jonathan Yazinski

arxiv:1102.5547 v1 · 2011-02-27 · 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{WLZF3RPFD7CHJBTDHRNBCYIZ5O}

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	2026-05-18T04:27:46.602921Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b2f25dc5e51fc47486633c5a116119eba0a47dca434638b08bb5aebeef1114bd

Aliases

arxiv: 1102.5547 · arxiv_version: 1102.5547v1 · doi: 10.48550/arxiv.1102.5547 · pith_short_12: WLZF3RPFD7CH · pith_short_16: WLZF3RPFD7CHJBTD · pith_short_8: WLZF3RPF

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/WLZF3RPFD7CHJBTDHRNBCYIZ5O \
  | 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: b2f25dc5e51fc47486633c5a116119eba0a47dca434638b08bb5aebeef1114bd

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2fb9a69a9595daa787afeb42bf4fcbf878ac1fbc145116cb2bfdd63daa80afde",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2011-02-27T20:28:04Z",
    "title_canon_sha256": "fd5d2664439bb937379eb7c2980a97cf788071709fc257bc7b98d0c9a198d52b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1102.5547",
    "kind": "arxiv",
    "version": 1
  }
}