Pith Number

pith:77FXBV2P

pith:2005:77FXBV2PTKPEDKHG2BOFYB7SKI

not attested not anchored not stored refs pending

Distortion of wreath products in some finitely presented groups

Sean Cleary

arxiv:math/0505288 v1 · 2005-05-13 · 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{77FXBV2PTKPEDKHG2BOFYB7SKI}

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	2026-05-18T00:20:49.713117Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ffcb70d74f9a9e41a8e6d05c5c07f25210289ca424f78b7b871ae0c7ddadbdac

Aliases

arxiv: math/0505288 · arxiv_version: math/0505288v1 · doi: 10.48550/arxiv.math/0505288 · pith_short_12: 77FXBV2PTKPE · pith_short_16: 77FXBV2PTKPEDKHG · pith_short_8: 77FXBV2P

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/77FXBV2PTKPEDKHG2BOFYB7SKI \
  | 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: ffcb70d74f9a9e41a8e6d05c5c07f25210289ca424f78b7b871ae0c7ddadbdac

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9ecc4de6c6a144f739287903269860544f8609eecc55d85ebfc96ff5401d1c29",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.GR",
    "submitted_at": "2005-05-13T15:35:58Z",
    "title_canon_sha256": "98cce95bd154926cbfebe77ffa06aa77b14d8603034b0f4d50265c3d53c34a0f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0505288",
    "kind": "arxiv",
    "version": 1
  }
}