Pith Number

pith:2CJ25TMZ

pith:2016:2CJ25TMZSTF76JXNJOWZFPLJRN

not attested not anchored not stored refs pending

Odd extensions of transitive groups via symmetric graphs

Dragan Marusic, Klavdija Kutnar

arxiv:1608.07749 v1 · 2016-08-27 · 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{2CJ25TMZSTF76JXNJOWZFPLJRN}

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	2026-05-18T01:07:50.000878Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d093aecd9994cbff26ed4bad92bd698b63eb9b65bb6c6755c58aacd783774c37

Aliases

arxiv: 1608.07749 · arxiv_version: 1608.07749v1 · doi: 10.48550/arxiv.1608.07749 · pith_short_12: 2CJ25TMZSTF7 · pith_short_16: 2CJ25TMZSTF76JXN · pith_short_8: 2CJ25TMZ

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/2CJ25TMZSTF76JXNJOWZFPLJRN \
  | 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: d093aecd9994cbff26ed4bad92bd698b63eb9b65bb6c6755c58aacd783774c37

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "da217bab196591c6300e5f6f68c47e7c3f6ee7f321015577d5eb43c98dd8b7c0",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2016-08-27T22:56:00Z",
    "title_canon_sha256": "9c57185738790cb5f85b6a6cf325c9b991008cc0ae141e17c836ddc715424186"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1608.07749",
    "kind": "arxiv",
    "version": 1
  }
}