Pith Number

pith:4POWM5EG

pith:2019:4POWM5EGBV74Q75AAU5F6VU67T

not attested not anchored not stored refs pending

Transcendence of values of the iterated exponential function at algebraic points

Hirotaka Kobayashi, Kota Saito, Wataru Takeda

arxiv:1912.09125 v2 · 2019-12-19 · 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{4POWM5EGBV74Q75AAU5F6VU67T}

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	2026-07-05T00:30:39.868818Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e3dd6674860d7fc87fa0053a5f569efcc809eb16b13d40b2d28f0de31c9028a7

Aliases

arxiv: 1912.09125 · arxiv_version: 1912.09125v2 · doi: 10.48550/arxiv.1912.09125 · pith_short_12: 4POWM5EGBV74 · pith_short_16: 4POWM5EGBV74Q75A · pith_short_8: 4POWM5EG

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/4POWM5EGBV74Q75AAU5F6VU67T \
  | 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: e3dd6674860d7fc87fa0053a5f569efcc809eb16b13d40b2d28f0de31c9028a7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c868465f75259bcf64ed6bbd752dd33078eb75de812c54e7fa8a18fd6a6c647c",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2019-12-19T11:06:29Z",
    "title_canon_sha256": "05c89eba388db6cd8aa883a86a8596df88eb076625cd2b3b2428dae644a1f24f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1912.09125",
    "kind": "arxiv",
    "version": 2
  }
}