Pith Number

pith:EA3MPTGN

pith:2011:EA3MPTGNHFW2DEZF52GWNT6IUI

not attested not anchored not stored refs pending

Schreier graphs of actions of Thompson's group F on the unit interval and on the Cantor set

Dmytro Savchuk

arxiv:1105.4017 v3 · 2011-05-20 · 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{EA3MPTGNHFW2DEZF52GWNT6IUI}

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	2026-05-18T03:02:59.842994Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2036c7cccd396da19325ee8d66cfc8a221c1a88339128bbd06b40c85597795f5

Aliases

arxiv: 1105.4017 · arxiv_version: 1105.4017v3 · doi: 10.48550/arxiv.1105.4017 · pith_short_12: EA3MPTGNHFW2 · pith_short_16: EA3MPTGNHFW2DEZF · pith_short_8: EA3MPTGN

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/EA3MPTGNHFW2DEZF52GWNT6IUI \
  | 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: 2036c7cccd396da19325ee8d66cfc8a221c1a88339128bbd06b40c85597795f5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "13d011e22bc331c114beacbe9e760561a95948b6b3ae0955220dd2632d397658",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2011-05-20T06:17:53Z",
    "title_canon_sha256": "0595044654e43af24f09b138a3c20495399e9f0c4f117dd36abfc1a832f8adde"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1105.4017",
    "kind": "arxiv",
    "version": 3
  }
}