Pith Number

pith:DAYPKH7Q

pith:2011:DAYPKH7QOBFYAAI2I52EDK5BL2

not attested not anchored not stored refs pending

Coset enumeration for certain infinitely presented groups

Ren\'e Hartung

arxiv:1106.0259 v1 · 2011-06-01 · 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{DAYPKH7QOBFYAAI2I52EDK5BL2}

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	2026-05-18T04:20:51.651406Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1830f51ff0704b80011a477441aba15e8a4884eb5420eca700f3cd6010d701af

Aliases

arxiv: 1106.0259 · arxiv_version: 1106.0259v1 · doi: 10.48550/arxiv.1106.0259 · pith_short_12: DAYPKH7QOBFY · pith_short_16: DAYPKH7QOBFYAAI2 · pith_short_8: DAYPKH7Q

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/DAYPKH7QOBFYAAI2I52EDK5BL2 \
  | 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: 1830f51ff0704b80011a477441aba15e8a4884eb5420eca700f3cd6010d701af

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "085af28026a4c2053b28146ac81264a5c81f2be2ca0754038ee70ff3f35a1e19",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2011-06-01T16:52:46Z",
    "title_canon_sha256": "31c8825d722ffb29a1852665249a9d1930d44ca8439b8184f1a43e4507356a78"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1106.0259",
    "kind": "arxiv",
    "version": 1
  }
}