Pith Number

pith:NZWMVJ24

pith:2004:NZWMVJ24KSY2OGSEN4O6ZWJBCV

not attested not anchored not stored refs pending

Cone types and geodesic languages for lamplighter groups and Thompson's group F

Jennifer Taback, Murray Elder, Sean Cleary

arxiv:math/0410616 v2 · 2004-10-29 · 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{NZWMVJ24KSY2OGSEN4O6ZWJBCV}

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	2026-05-18T03:55:35.916322Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6e6ccaa75c54b1a71a446f1decd921156a15b37156021344f1b95f4c4ef5acbf

Aliases

arxiv: math/0410616 · arxiv_version: math/0410616v2 · doi: 10.48550/arxiv.math/0410616 · pith_short_12: NZWMVJ24KSY2 · pith_short_16: NZWMVJ24KSY2OGSE · pith_short_8: NZWMVJ24

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/NZWMVJ24KSY2OGSEN4O6ZWJBCV \
  | 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: 6e6ccaa75c54b1a71a446f1decd921156a15b37156021344f1b95f4c4ef5acbf

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a7e40a9b1cb302464cfc2dd2d8d50a7613ccc93da814109b4e733c22bc11eb77",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.GR",
    "submitted_at": "2004-10-29T10:45:59Z",
    "title_canon_sha256": "7bd4502a8a6ed6fe42554582076b03902b37fa1da9e3e9dd0aab75de6f92e212"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0410616",
    "kind": "arxiv",
    "version": 2
  }
}