Pith Number

pith:R4BPDYK4

pith:2005:R4BPDYK4BTDW2TIIB3DETWNC6H

not attested not anchored not stored refs pending

Computational explorations in Thompson's group F

Bert Wiest, Jose Burillo, Sean Cleary

arxiv:math/0506346 v1 · 2005-06-17 · math.GR

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Add to your LaTeX paper

\usepackage{pith}
\pithnumber{R4BPDYK4BTDW2TIIB3DETWNC6H}

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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.

Cited by

1 paper in Pith

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

Receipt and verification

First computed	2026-05-18T00:20:49.698937Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8f02f1e15c0cc76d4d080ec649d9a2f1d32862dabc97c5fadbbb1ca2c41485f1

Aliases

arxiv: math/0506346 · arxiv_version: math/0506346v1 · doi: 10.48550/arxiv.math/0506346 · pith_short_12: R4BPDYK4BTDW · pith_short_16: R4BPDYK4BTDW2TII · pith_short_8: R4BPDYK4

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/R4BPDYK4BTDW2TIIB3DETWNC6H \
  | 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: 8f02f1e15c0cc76d4d080ec649d9a2f1d32862dabc97c5fadbbb1ca2c41485f1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0b5632e2fc289d4c3724c14cba802c0fb54a85936047763c65ba3db0c2ac9b46",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.GR",
    "submitted_at": "2005-06-17T10:15:18Z",
    "title_canon_sha256": "230c575c520d9697389850f419b3ab6d92a1feed2e73cda1642b7778d1ff14f2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0506346",
    "kind": "arxiv",
    "version": 1
  }
}