Pith Number

pith:TLUTLZGQ

pith:2008:TLUTLZGQ5Y5IGW7VIG64UG3DYK

not attested not anchored not stored refs pending

A Schanuel property for exponentially transcendental powers

A.J. Wilkie, Jonathan Kirby, Martin Bays

arxiv:0810.4457 v1 · 2008-10-24 · math.NT · math.LO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{TLUTLZGQ5Y5IGW7VIG64UG3DYK}

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	2026-05-18T04:16:13.146847Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9ae935e4d0ee3a835bf541bdca1b63c29a58dfcf0ca4526794d8c15b47134d22

Aliases

arxiv: 0810.4457 · arxiv_version: 0810.4457v1 · doi: 10.48550/arxiv.0810.4457 · pith_short_12: TLUTLZGQ5Y5I · pith_short_16: TLUTLZGQ5Y5IGW7V · pith_short_8: TLUTLZGQ

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/TLUTLZGQ5Y5IGW7VIG64UG3DYK \
  | 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: 9ae935e4d0ee3a835bf541bdca1b63c29a58dfcf0ca4526794d8c15b47134d22

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "826b6ab80349804f91ffcc849ac952dcacf57e0c009b82a033b9bb13d2010638",
    "cross_cats_sorted": [
      "math.LO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2008-10-24T13:29:34Z",
    "title_canon_sha256": "e7b47e11275fb712806e4fc47effcbee40e894382282c347252101c5cccec2b1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0810.4457",
    "kind": "arxiv",
    "version": 1
  }
}