Pith Number

pith:CLSIVHJJ

pith:1997:CLSIVHJJEIJYY7GRWVEDPFMOUQ

not attested not anchored not stored refs pending

A topological interpretation of the tower number

Boaz Tsaban

arxiv:math/9705209 v3 · 1997-05-13 · math.LO · math.CO · math.GN

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{CLSIVHJJEIJYY7GRWVEDPFMOUQ}

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	2026-05-18T04:42:44.904979Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

12e48a9d2922138c7cd1b54837958ea4002d02c04c696e57524c360ecf038726

Aliases

arxiv: math/9705209 · arxiv_version: math/9705209v3 · doi: 10.48550/arxiv.math/9705209 · pith_short_12: CLSIVHJJEIJY · pith_short_16: CLSIVHJJEIJYY7GR · pith_short_8: CLSIVHJJ

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/CLSIVHJJEIJYY7GRWVEDPFMOUQ \
  | 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: 12e48a9d2922138c7cd1b54837958ea4002d02c04c696e57524c360ecf038726

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "175920a9b0a27b97d13c025795741bde04ecf12b288f1042f5a71c8303d4643e",
    "cross_cats_sorted": [
      "math.CO",
      "math.GN"
    ],
    "license": "",
    "primary_cat": "math.LO",
    "submitted_at": "1997-05-13T00:00:00Z",
    "title_canon_sha256": "3d2de1fea3a2d2113f9f9139e4f98b34e294d9209c27661b6d135e6babb28cd5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/9705209",
    "kind": "arxiv",
    "version": 3
  }
}