Pith Number

pith:77SBXSMA

pith:2013:77SBXSMAMXC6IGAKBJKZQIQB2N

not attested not anchored not stored refs pending

On the quasiconvexity of the fixed subgroup of endomorphisms of relatively hyperbolic groups

M. Sykiotis, V. Metaftsis

arxiv:1304.4036 v2 · 2013-04-15 · 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{77SBXSMAMXC6IGAKBJKZQIQB2N}

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	2026-05-18T01:21:20.079120Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ffe41bc98065c5e4180a0a55982201d35a96365d23b985fa0cd74f98d7cf2062

Aliases

arxiv: 1304.4036 · arxiv_version: 1304.4036v2 · doi: 10.48550/arxiv.1304.4036 · pith_short_12: 77SBXSMAMXC6 · pith_short_16: 77SBXSMAMXC6IGAK · pith_short_8: 77SBXSMA

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/77SBXSMAMXC6IGAKBJKZQIQB2N \
  | 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: ffe41bc98065c5e4180a0a55982201d35a96365d23b985fa0cd74f98d7cf2062

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f2fe632574c304670cb9e962dec002bcebd3b1f5c4d30ab2355a8ad0505d4626",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2013-04-15T09:48:12Z",
    "title_canon_sha256": "a63ade484ba09a955ce3ca4ad65e9b24188f45bb1bd9efbe0aa0bd12918b8756"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1304.4036",
    "kind": "arxiv",
    "version": 2
  }
}