Pith Number

pith:PSTDB4WV

pith:2018:PSTDB4WVP2I622ELVAZAJN56PI

not attested not anchored not stored refs pending

Encoding and Visualization in the Collatz Conjecture

George M. Georgiou

arxiv:1811.00384 v3 · 2018-10-30 · math.HO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{PSTDB4WVP2I622ELVAZAJN56PI}

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.

Cited by

1 paper in Pith

$\left(p,q\right)$-adic Analysis and the Collatz Conjecture

Receipt and verification

First computed	2026-05-17T23:57:02.492655Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7ca630f2d57e91ed688ba83204b7be7a24dd5bc60bba4af6b7ef634b05c7fe0c

Aliases

arxiv: 1811.00384 · arxiv_version: 1811.00384v3 · doi: 10.48550/arxiv.1811.00384 · pith_short_12: PSTDB4WVP2I6 · pith_short_16: PSTDB4WVP2I622EL · pith_short_8: PSTDB4WV

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/PSTDB4WVP2I622ELVAZAJN56PI \
  | 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: 7ca630f2d57e91ed688ba83204b7be7a24dd5bc60bba4af6b7ef634b05c7fe0c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "445554f2c9e1a8b4762d3af83aaa5b66d384a129978d154f9d7fa072f602cd3b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.HO",
    "submitted_at": "2018-10-30T21:42:45Z",
    "title_canon_sha256": "7460f08733747b78951a7a1f9fed06d65fa785273deb13fd6499a4c529dd0b3e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1811.00384",
    "kind": "arxiv",
    "version": 3
  }
}