Pith Number

pith:GD5S3NV2

pith:2011:GD5S3NV23S4ENYBEHKGSDSLMGM

not attested not anchored not stored refs pending

Generalising some results about right-angled Artin groups to graph products of groups

Derek F. Holt, Sarah Rees

arxiv:1110.2708 v3 · 2011-10-12 · 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{GD5S3NV23S4ENYBEHKGSDSLMGM}

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	2026-05-18T04:10:23.166082Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

30fb2db6badcb846e0243a8d21c96c331006427154d962961ebb927d95fa6bb1

Aliases

arxiv: 1110.2708 · arxiv_version: 1110.2708v3 · doi: 10.48550/arxiv.1110.2708 · pith_short_12: GD5S3NV23S4E · pith_short_16: GD5S3NV23S4ENYBE · pith_short_8: GD5S3NV2

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/GD5S3NV23S4ENYBEHKGSDSLMGM \
  | 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: 30fb2db6badcb846e0243a8d21c96c331006427154d962961ebb927d95fa6bb1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "065bd1a67b7d76c1c1d8fe89be8057175ab74e206ff128b0a13017afce4e024e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2011-10-12T17:12:59Z",
    "title_canon_sha256": "cd47d26db5001b8004020718ccd3b5efba3070782fa2dff3293ec8cd661f9765"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1110.2708",
    "kind": "arxiv",
    "version": 3
  }
}