Pith Number

pith:6TDTAYQU

pith:2019:6TDTAYQUFBBPRN4NUY43T4M27J

not attested not anchored not stored refs pending

Superharmonic functions on the Lamplighter graph of Thompson's group F

Maksym Chornyi

arxiv:1907.01440 v1 · 2019-07-02 · math.GR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{6TDTAYQUFBBPRN4NUY43T4M27J}

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	2026-05-17T23:41:40.394706Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f4c73062142842f8b78da639b9f19afa61889ed46f0b4681e7bd29cd6fb7e1e8

Aliases

arxiv: 1907.01440 · arxiv_version: 1907.01440v1 · doi: 10.48550/arxiv.1907.01440 · pith_short_12: 6TDTAYQUFBBP · pith_short_16: 6TDTAYQUFBBPRN4N · pith_short_8: 6TDTAYQU

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/6TDTAYQUFBBPRN4NUY43T4M27J \
  | 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: f4c73062142842f8b78da639b9f19afa61889ed46f0b4681e7bd29cd6fb7e1e8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f207a1f5df0bbb5a1512a6bed98ca62b5e72bf651ecbabb63d7c213b31d2f137",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by-sa/4.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2019-07-02T15:23:42Z",
    "title_canon_sha256": "0ab7b324784d232b4a238625ef86672cd1d5ffdb887c1399f3ae778d66e3258a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1907.01440",
    "kind": "arxiv",
    "version": 1
  }
}