Pith Number

pith:KMFJVXHB

pith:2008:KMFJVXHBV44K6TUVDDIVHKY4YY

not attested not anchored not stored refs pending

On the linearity of HNN-extensions with abelian base group

D. Varsos, E. Raptis, V. Metaftsis

arxiv:0810.2389 v2 · 2008-10-14 · 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{KMFJVXHBV44K6TUVDDIVHKY4YY}

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	2026-05-18T04:32:20.156513Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

530a9adce1af38af4e9518d153ab1cc60a50da2046e0ac480059bdd0cb49d2fc

Aliases

arxiv: 0810.2389 · arxiv_version: 0810.2389v2 · doi: 10.48550/arxiv.0810.2389 · pith_short_12: KMFJVXHBV44K · pith_short_16: KMFJVXHBV44K6TUV · pith_short_8: KMFJVXHB

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/KMFJVXHBV44K6TUVDDIVHKY4YY \
  | 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: 530a9adce1af38af4e9518d153ab1cc60a50da2046e0ac480059bdd0cb49d2fc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4bfe928cfc6bdbce3d4d7a20d0e2d82765db1854fe23651ae9ef96b8b7307e47",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2008-10-14T08:39:27Z",
    "title_canon_sha256": "b4c916883e11b005276194ac97a5f2e9e0e4a668e6f6d22e57e9809a4ea9781a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0810.2389",
    "kind": "arxiv",
    "version": 2
  }
}