Pith Number

pith:V4MES7LT

pith:2006:V4MES7LTLPTLSHGOSPXW2ZI7XW

not attested not anchored not stored refs pending

Solving random equations in Garside groups using length functions

Boaz Tsaban, Martin Hock

arxiv:math/0611918 v4 · 2006-11-29 · math.GR · cs.CR · math.AG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{V4MES7LTLPTLSHGOSPXW2ZI7XW}

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	2026-05-18T04:37:23.101309Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

af18497d735be6b91cce93ef6d651fbdb30bb68b0f6913f3d97727e7cd6074c8

Aliases

arxiv: math/0611918 · arxiv_version: math/0611918v4 · doi: 10.48550/arxiv.math/0611918 · pith_short_12: V4MES7LTLPTL · pith_short_16: V4MES7LTLPTLSHGO · pith_short_8: V4MES7LT

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/V4MES7LTLPTLSHGOSPXW2ZI7XW \
  | 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: af18497d735be6b91cce93ef6d651fbdb30bb68b0f6913f3d97727e7cd6074c8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "395185872a9de27bd259370eb6a13797b980e3a65972249eae13c21ae7231456",
    "cross_cats_sorted": [
      "cs.CR",
      "math.AG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2006-11-29T16:34:43Z",
    "title_canon_sha256": "4543a08ad882b3b05f5a7c31413b8323b2916fddd2837eef28c7efbc3b4b045e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0611918",
    "kind": "arxiv",
    "version": 4
  }
}