Pith Number

pith:XT6R2LPN

pith:2005:XT6R2LPNATV3N3CUX3YZZYHTJW

not attested not anchored not stored refs pending

Amalgamated Free Products of $w$-Rigid Factors and Calculation of their Symmetry Groups

A. Ioana, J. Peterson, S. Popa

arxiv:math/0505589 v6 · 2005-05-27 · math.OA · 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{XT6R2LPNATV3N3CUX3YZZYHTJW}

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	2026-07-04T15:06:29.995692Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bcfd1d2ded04ebb6ec54bef19ce0f34da581e49d54855ead835c6b9bad99a787

Aliases

arxiv: math/0505589 · arxiv_version: math/0505589v6 · doi: 10.48550/arxiv.math/0505589 · pith_short_12: XT6R2LPNATV3 · pith_short_16: XT6R2LPNATV3N3CU · pith_short_8: XT6R2LPN

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/XT6R2LPNATV3N3CUX3YZZYHTJW \
  | 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: bcfd1d2ded04ebb6ec54bef19ce0f34da581e49d54855ead835c6b9bad99a787

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "47ea7fe3c272394e05c571d1932a88b747b344f91db9a81f953f0f39bc8ba60b",
    "cross_cats_sorted": [
      "math.GR"
    ],
    "license": "",
    "primary_cat": "math.OA",
    "submitted_at": "2005-05-27T18:41:05Z",
    "title_canon_sha256": "6da3c8ca5eea036f12391ddd9c60915d6269ec893d495e4b4664edf19704bdd3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0505589",
    "kind": "arxiv",
    "version": 6
  }
}