Pith Number

pith:IE7B5OOJ

pith:2019:IE7B5OOJ7B3DQQV4GVWDMHLGJM

not attested not anchored not stored refs pending

The strange properties of the infinite power tower

Luca Moroni

arxiv:1908.05559 v1 · 2019-08-15 · 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{IE7B5OOJ7B3DQQV4GVWDMHLGJM}

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	2026-07-04T23:56:53.897152Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

413e1eb9c9f8763842bc356c361d664b2c14d6d12094a48e8d7592caa780d145

Aliases

arxiv: 1908.05559 · arxiv_version: 1908.05559v1 · doi: 10.48550/arxiv.1908.05559 · pith_short_12: IE7B5OOJ7B3D · pith_short_16: IE7B5OOJ7B3DQQV4 · pith_short_8: IE7B5OOJ

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/IE7B5OOJ7B3DQQV4GVWDMHLGJM \
  | 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: 413e1eb9c9f8763842bc356c361d664b2c14d6d12094a48e8d7592caa780d145

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ca2143884717ec3dc10d887efe37e1c7b600cbfc07de7ccf13cc482651c26455",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.HO",
    "submitted_at": "2019-08-15T14:23:47Z",
    "title_canon_sha256": "865a5a3868333321dfd3b5378248ab616dd6b3798e91c85564e5c05ebac045df"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1908.05559",
    "kind": "arxiv",
    "version": 1
  }
}