Pith Number

pith:SGXXP7EU

pith:2013:SGXXP7EUYUXCETN2BNTH5J6WHT

not attested not anchored not stored refs pending

On planar right groups

Kolja Knauer, Ulrich Knauer

arxiv:1309.5236 v2 · 2013-09-20 · math.CO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{SGXXP7EUYUXCETN2BNTH5J6WHT}

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	2026-05-18T02:30:32.499088Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

91af77fc94c52e224dba0b667ea7d63cd6ebba6782187791e5961a1bc853f23c

Aliases

arxiv: 1309.5236 · arxiv_version: 1309.5236v2 · doi: 10.48550/arxiv.1309.5236 · pith_short_12: SGXXP7EUYUXC · pith_short_16: SGXXP7EUYUXCETN2 · pith_short_8: SGXXP7EU

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/SGXXP7EUYUXCETN2BNTH5J6WHT \
  | 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: 91af77fc94c52e224dba0b667ea7d63cd6ebba6782187791e5961a1bc853f23c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3a79fae4fbe62d23d28a6911eb5ffb3de78ee8d7fdd95a8135ca9d1b5507c710",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2013-09-20T11:13:13Z",
    "title_canon_sha256": "542f264a2d4b07dcdb383c1f33fb22d05c83594429ac7ffff3f268b26cfae238"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1309.5236",
    "kind": "arxiv",
    "version": 2
  }
}