Pith Number

pith:4VDZDM6Y

pith:2006:4VDZDM6Y4JXT37J6UO2DAKY3CW

not attested not anchored not stored refs pending

Cryptanalysis of the Shpilrain-Ushakov Protocol in Thompson's Group

Francesco Matucci

arxiv:math/0607184 v2 · 2006-07-07 · math.GR · math.AC

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{4VDZDM6Y4JXT37J6UO2DAKY3CW}

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	2026-05-18T04:21:51.896783Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e54791b3d8e26f3dfd3ea3b4302b1b15b1108b743e1ddb033414eeded217ef80

Aliases

arxiv: math/0607184 · arxiv_version: math/0607184v2 · doi: 10.48550/arxiv.math/0607184 · pith_short_12: 4VDZDM6Y4JXT · pith_short_16: 4VDZDM6Y4JXT37J6 · pith_short_8: 4VDZDM6Y

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/4VDZDM6Y4JXT37J6UO2DAKY3CW \
  | 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: e54791b3d8e26f3dfd3ea3b4302b1b15b1108b743e1ddb033414eeded217ef80

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f9d4e89cf8df26f5d8c1b61f6a5f204bc10207f4eb5bd503fd38b4c1d82ab920",
    "cross_cats_sorted": [
      "math.AC"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2006-07-07T09:34:15Z",
    "title_canon_sha256": "044f22835994e7b3bf0a2f9624b45d04e0cf4abe3a3fcddf173d24381d4968c3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0607184",
    "kind": "arxiv",
    "version": 2
  }
}