Pith Number

pith:HY3KB4ZL

pith:2005:HY3KB4ZLU6KRKM4BTQ2NML5J2A

not attested not anchored not stored refs pending

Thompson's group and public key cryptography

Alexander Ushakov, Vladimir Shpilrain

arxiv:math/0505487 v1 · 2005-05-24 · math.GR · cs.CR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{HY3KB4ZLU6KRKM4BTQ2NML5J2A}

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	2026-05-18T01:05:23.438033Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3e36a0f32ba7951533819c34d62fa9d00360019e146a70385b6f4a03a809842f

Aliases

arxiv: math/0505487 · arxiv_version: math/0505487v1 · doi: 10.48550/arxiv.math/0505487 · pith_short_12: HY3KB4ZLU6KR · pith_short_16: HY3KB4ZLU6KRKM4B · pith_short_8: HY3KB4ZL

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/HY3KB4ZLU6KRKM4BTQ2NML5J2A \
  | 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: 3e36a0f32ba7951533819c34d62fa9d00360019e146a70385b6f4a03a809842f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "75c552e85ff9b5e32f8a805bf5f0d452795f2e78d9888b045588f4cea97c4c22",
    "cross_cats_sorted": [
      "cs.CR"
    ],
    "license": "",
    "primary_cat": "math.GR",
    "submitted_at": "2005-05-24T01:25:27Z",
    "title_canon_sha256": "4c52777871fc48dcd5307a0dc0ec3ee381f7e503fc3af0f6e62e649e2b8da4a3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0505487",
    "kind": "arxiv",
    "version": 1
  }
}