Pith Number

pith:A5YZJWZD

pith:2016:A5YZJWZDSWENR23KHWY3FGKTUI

not attested not anchored not stored refs pending

Groups not acting on compact metric spaces by homeomorphisms

Azer Akhmedov

arxiv:1603.05330 v1 · 2016-03-17 · math.GR · math.DS · math.GN

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{A5YZJWZDSWENR23KHWY3FGKTUI}

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	2026-05-18T01:18:56.631111Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

077194db239588d8eb6a3db1b29953a203cba9f070cab1c7d00679f17c30d1f7

Aliases

arxiv: 1603.05330 · arxiv_version: 1603.05330v1 · doi: 10.48550/arxiv.1603.05330 · pith_short_12: A5YZJWZDSWEN · pith_short_16: A5YZJWZDSWENR23K · pith_short_8: A5YZJWZD

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/A5YZJWZDSWENR23KHWY3FGKTUI \
  | 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: 077194db239588d8eb6a3db1b29953a203cba9f070cab1c7d00679f17c30d1f7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "94a6ac3dc200990d0a7887860d8136fa1f41700f08865bb54489dbe7ac90315d",
    "cross_cats_sorted": [
      "math.DS",
      "math.GN"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2016-03-17T01:34:58Z",
    "title_canon_sha256": "a8db3b90f0119a2b8690a87a02ed8ab0f385b52617a289f120ad2863d262cd62"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1603.05330",
    "kind": "arxiv",
    "version": 1
  }
}