Pith Number

pith:MZMRE5RH

pith:2014:MZMRE5RH7IXXYYZE75IUNDFBPH

not attested not anchored not stored refs pending

The dense amalgam of metric compacta and topological characterization of boundaries of free products of groups

Jacek Swiatkowski

arxiv:1410.4989 v1 · 2014-10-18 · math.GT · 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{MZMRE5RH7IXXYYZE75IUNDFBPH}

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	2026-05-18T02:39:47.266524Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6659127627fa2f7c6324ff51468ca179d2fc6dc296deb348422c8dd51e7dc004

Aliases

arxiv: 1410.4989 · arxiv_version: 1410.4989v1 · doi: 10.48550/arxiv.1410.4989 · pith_short_12: MZMRE5RH7IXX · pith_short_16: MZMRE5RH7IXXYYZE · pith_short_8: MZMRE5RH

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/MZMRE5RH7IXXYYZE75IUNDFBPH \
  | 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: 6659127627fa2f7c6324ff51468ca179d2fc6dc296deb348422c8dd51e7dc004

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "366bf1811f30da53a3c4c7e1c6a4be61e72e6f0c758cbc014381dd332da97139",
    "cross_cats_sorted": [
      "math.GR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2014-10-18T18:40:47Z",
    "title_canon_sha256": "71f22546930fc018642e9f15ba6c44ce5582c0f087ff97a0c2e673781503cc1b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1410.4989",
    "kind": "arxiv",
    "version": 1
  }
}