Pith Number

pith:BHAFCKXH

pith:2009:BHAFCKXHY5LHGIIR6FCNCWJ6KQ

not attested not anchored not stored refs pending

Amalgamated free products of topological groups being Hausdorff -- a new approach

Dali Zangurashvili, Guram Samsonadze

arxiv:0906.1481 v3 · 2009-06-08 · math.GN · math.CT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{BHAFCKXHY5LHGIIR6FCNCWJ6KQ}

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	2026-05-17T23:47:12.968787Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

09c0512ae7c756732111f144d1593e542b9d75d23435c2d28e94a7790573d32a

Aliases

arxiv: 0906.1481 · arxiv_version: 0906.1481v3 · doi: 10.48550/arxiv.0906.1481 · pith_short_12: BHAFCKXHY5LH · pith_short_16: BHAFCKXHY5LHGIIR · pith_short_8: BHAFCKXH

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/BHAFCKXHY5LHGIIR6FCNCWJ6KQ \
  | 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: 09c0512ae7c756732111f144d1593e542b9d75d23435c2d28e94a7790573d32a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8d105355d50c43bfc8be6127f09ef35fb91b91b51ff164526afb57a97bd5e93e",
    "cross_cats_sorted": [
      "math.CT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GN",
    "submitted_at": "2009-06-08T12:41:52Z",
    "title_canon_sha256": "b2bc331091408563908a2069357be271643ba006b3b23fb4c000c27f3cc24d1b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0906.1481",
    "kind": "arxiv",
    "version": 3
  }
}