Pith Number

pith:DHJPL6GQ

pith:2011:DHJPL6GQUYRU5ZRLJWCAXRSFTP

not attested not anchored not stored refs pending

Groupoids, root systems and weak order II

Matthew Dyer

arxiv:1110.3657 v1 · 2011-10-17 · 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{DHJPL6GQUYRU5ZRLJWCAXRSFTP}

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	2026-05-18T04:10:48.763971Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

19d2f5f8d0a6234ee62b4d840bc6459be88d11dfafc4c996e326ba55168a6659

Aliases

arxiv: 1110.3657 · arxiv_version: 1110.3657v1 · doi: 10.48550/arxiv.1110.3657 · pith_short_12: DHJPL6GQUYRU · pith_short_16: DHJPL6GQUYRU5ZRL · pith_short_8: DHJPL6GQ

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/DHJPL6GQUYRU5ZRLJWCAXRSFTP \
  | 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: 19d2f5f8d0a6234ee62b4d840bc6459be88d11dfafc4c996e326ba55168a6659

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a6435f045cbc6c0f2293d1901536c884aa60c07d940c148991c3174ca6ad92a9",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2011-10-17T13:05:16Z",
    "title_canon_sha256": "22595cc095b57ce303b08dd0a4617bb64d5e9e6d1f5bf76f12ba9a0e1c2279ff"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1110.3657",
    "kind": "arxiv",
    "version": 1
  }
}