Pith Number

pith:3XVJ73TA

pith:2003:3XVJ73TAE2U25CMVZ5MXUHGQZD

not attested not anchored not stored refs pending

Dead end words in lamplighter groups and other wreath products

Jennifer Taback, Sean Cleary

arxiv:math/0309344 v1 · 2003-09-20 · 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{3XVJ73TAE2U25CMVZ5MXUHGQZD}

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	2026-05-18T00:20:49.755017Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ddea9fee6026a9ae8995cf597a1cd0c8f335c73cfb69c63e2c5746a2eaad6811

Aliases

arxiv: math/0309344 · arxiv_version: math/0309344v1 · doi: 10.48550/arxiv.math/0309344 · pith_short_12: 3XVJ73TAE2U2 · pith_short_16: 3XVJ73TAE2U25CMV · pith_short_8: 3XVJ73TA

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/3XVJ73TAE2U25CMVZ5MXUHGQZD \
  | 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: ddea9fee6026a9ae8995cf597a1cd0c8f335c73cfb69c63e2c5746a2eaad6811

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "29d360fec49b7a0c92761f2aeacd21b7efbc7ebb045cbd1ebeba736648338773",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.GR",
    "submitted_at": "2003-09-20T19:25:44Z",
    "title_canon_sha256": "e05b2a4088165834c5315987b04eda0e6f943145c66140c58c049be4c58de8a1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0309344",
    "kind": "arxiv",
    "version": 1
  }
}