Pith Number

pith:ZLMVEX2V

pith:2010:ZLMVEX2VZDMKLND7IZWT6MPXP4

not attested not anchored not stored refs pending

Artin groups of large type are shortlex automatic with regular geodesics

Derek F Holt, Sarah Rees

arxiv:1003.6007 v1 · 2010-03-31 · 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{ZLMVEX2VZDMKLND7IZWT6MPXP4}

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	2026-05-18T02:58:02.309884Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cad9525f55c8d8a5b47f466d3f31f77f0b73aa433b0a079fefb1f10c2b9adb55

Aliases

arxiv: 1003.6007 · arxiv_version: 1003.6007v1 · doi: 10.48550/arxiv.1003.6007 · pith_short_12: ZLMVEX2VZDMK · pith_short_16: ZLMVEX2VZDMKLND7 · pith_short_8: ZLMVEX2V

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/ZLMVEX2VZDMKLND7IZWT6MPXP4 \
  | 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: cad9525f55c8d8a5b47f466d3f31f77f0b73aa433b0a079fefb1f10c2b9adb55

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c84b0859aaf3349c33e514619ba3ff85c62e04e2709d92ce79e18a0fab932220",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2010-03-31T10:00:29Z",
    "title_canon_sha256": "585db8f626889704e82df602b76abd851370e4d3e81e39c792df731b9b178540"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1003.6007",
    "kind": "arxiv",
    "version": 1
  }
}